Solve the system of linear equations by elimination.
-
- 3x + 4y = 18
6x+2y = -6

Answers

Answer 1

Answer: (-2,3)

Step-by-step explanation:

-3x + 4y = 18

6x + 2y= -6        we have to eliminate one of the variables so you will have ot

2(-3x + 4y) = 18(2)     multiply the first equation by 2.  

-6x + 8y = 36

6x +  2y = -6       now we could eliminate the x terms by adding them and

 0  +   10y= 30   remember that is a new equation.  

        y=  3

Now we know that the y solution is 3 so we will put it into one of the equations and solve for x.

-6x + 8(3)=36

-6x + 24= 36

         -24   -24

-6x =  12

x= -2

Answer 2

The solution for the system of given linear equations is (-2, 3).

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given system of equations are -3x + 4y = 18 ----(I) and 6x+2y = -6 ----(II).

By elimination method,

Multiply equation (I) by 2, we get

-6x+8y=36 ----(III)

Add equation (II) and (III), that is

-6x+8y+6x+2y=36-6

10y=30

y=3

Substitute, y=3 in -3x + 4y = 18, we get

-3x+4(3)=18

-3x=6

x=-2

Therefore, the solution for the system of given linear equations is (-2, 3).

To learn more about the linear system of an equations visit:

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Related Questions

Need by like 10 minutes

Answers

Answer:

The final answer is [tex]n > -1[/tex], which would be the first choice.

Step-by-step explanation:

-Solve the inequality:

[tex]-6n + 5 < 11[/tex]

-Subtract both sides by [tex]5[/tex]:

[tex]-6n + 5 - 5 < 11 - 5[/tex]

[tex]-6n < 6[/tex]

-When you are dividing by a negative number, which is [tex]-6[/tex], the inequality sign would change:

[tex]\frac{-6n}{-6} < \frac{6}{-6}[/tex]

[tex]n > -1[/tex]

So, the final answer would be [tex]n > -1[/tex].

What is the best estimate of 11% of 448?

Answers

Answer:

49.28.

Step-by-step explanation:

11% = 10% + 1%

So 11% of 448 = 44.8 + 4.48

= 49.28.

The best estimate of 11% of 448 is 49.28.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred.

11% of 448 = 11 / 100 × 448 = 0.11 × 448

= 49.28

Hence, the best estimate of 11% of 448 is 49.28.

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Consider the following linear system.

Answers

Answer:

k= 10

Step-by-step explanation:

2x - 5y = 15

ky = 20 +4x

Solve the first equation for  y

-5y = -2x +15

Multiply by -2

10y = 4x - 30

If k = 10 then the slopes are the same, but the y intercepts are different.

The lines are parallel.  They will never intersect, and they have no solution

Answer:

D

Step-by-step explanation:

- 5y = - 2x +15

10y = 4x - 30

if k = 10, then the y intercepts are different, and the lines--being parallel--don't ever meet, so k = 10 would result in 0 solutions.

Hope this helps!

let g(x)= -x^2+4x+4. Find g(p). g(p)=_____

Answers

Answer:

g(p)= -p^2+4p+4

Step-by-step explanation:

g(x)= -x^2+4x+4

Replace x with p

g(p)= -p^2+4p+4

What was the mean number of peas in a pod 2 4 5 6 6 7 8 10 14 18

Answers

Answer:

The mean is 7.5

Step-by-step explanation:

1.add all of the numbers together

2.Divide by 10 since you have 10 numbers to add

Hope this Helps!

The point (-2, -3) is on a circle that has center (-2,6). Find the length of the diameter of the circle.

Answers

Answer:

18

Step-by-step explanation:

√(-2 - -2)² + (6 - -3)² = 9 = radius

diameter = 2r = 18

if you're good at parabolas please help meeeee

Find the equation of the following parabola

Answers

Answer:

Step-by-step explanation:

it  is symmetric about y-axis and its axis is x=0

and vertex is (0,2)

so parabola is y=a(x-0)²+2

(2,4) lies on it.

4=a(2)²+2

4a=2

a=1/2

so y=1/2 x²+2


Which shows the pre-image of quadrilateral W'X'Y'Z' before the figure was rotated according to the rule (x,y) → (-x, -y)?
у
6
5
Z
Y'
4
3
X
2
1
х
1. 2. 3. 4. 5. 6
6.-5.4-3-2-11
-2
5
LE
Ty​

Answers

Answer:

W(-2, -3), X(-6, -3) , Y(-6, -4) and Z(-3, -5)

Step-by-step explanation:

In the figure attached, the quadrilateral W'X'Y'Z'  is shown. Its coordinates are W'(2, 3), X'(6, 3), Y'(6, 4) and Z'(3, 5). Transforming these points according to the rule (x,y) → (-x, -y) we can get the pre-image, quadrilateral WXYZ, as follows:

W'(2, 3) -> W(-2, -3)

X'(6, 3) -> X(-6, -3)

Y'(6, 4) -> Y(-6, -4)

Z'(3, 5) -> Z(-3, -5)

Answer:

the answer is A

Step-by-step explanation:

Mark me brainliest

Please answer the question stated below

Answers

Answer:

2968

Step-by-step explanation:

First make 112% into a decimal, now its 1.12, add all the scooters' sales from all years and multiply by 1.12 then add that number to the total sales of the scooters

Answer:

725 + 579 + 696 = 2000 (What a coincidence)

112% = 112 / 100 = 1.12

Multiply the increase

2000 x 1.12 = 2240

2240 is the amount of scooters sold.

Step-by-step explanation:

In a certain board game, a number cube is rolled to determine the number of spaces a player gets to move. Use the table above to determine the expected value of the number of spaces a player moves. Round the answer to the nearest tenth. 1.0 1.3 2.2 13.0

Answers

Answer:

A. 1.0

B. 1.3

C. 2.2

D. 13.0

Answer:

B.

Step-by-step explanation:

Find the medium of the following set of data. Round to the nearest 10th if necessary 26.1,8.4,11.4,44.1,32.3,46.41,18.5,20,9.3,19.6

Answers

Answer:

19.8

Step-by-step explanation:

You have to first put the numbers into ascending order:

8.4, 9.3, 11.4, 18.5, 19.6, 20, 26.1, 32.3, 44.1, 46.41.

Because there is an even amount of numbers, you end up with 19.6 and 20.

The in between of 19.6 and 20 is 19.8.

(You can work this out by adding the two numbers together and then dividing by two if you have to.)

There are 48 students studying a foreign language at the
community college. If the only two foreign languages offered are
French and Spanish, and 28 students are studying French, which of
the following represents the ratio of students studying Spanish to
the total number of foreign language students?

Answers

Answer:

5/12

Step-by-step explanation:

If 28 students are studying French, then the remaining 20 are studying Spanish. The ratio of those studying spanish to the total number of students is 20/48. This can be simplified to 5/12.

Answer:

5 to 12

Step-by-step explanation:

Since 28 students are already taking French, then you have to subtract that from the total students, giving you 20 students who take Spanish. So the ratio for Spanish students to total students would be 20 to 48. But that can be simplified (since all ratios need to be simplified) to 10 to 24. And that can again be simplified to 5 to 12.

Hope this helped!

What is the product?

(5 r + 2)(3 r minus 4)

15 r squared + 8
15 r squared minus 8
15 r squared + 14 r minus 8
15 r squared minus 14 r minus 8

Answers

Answer:

The answer would be the last one

_________________________________

Solution

(5r+2)(3r-4)

=5r(3r-4)+2(3r-4)

=15r^2-20r+6r-8

=15r^2-14r-8

So the right answer is 15 r squared minus 14 r minus 8.

Hope it helps

Good luck on your assignment

______________________________

30 points !!!please help is this right???

Answers

Answer:

-3k +10

Step-by-step explanation:

-3k - (-8) +2

Subtracting a negative is like adding

-3k +8+2

Combine like terms

-3k +10

Answer:

Its actually not. So first the -3k is already simplified. The --8 becomes +8

its -3k+8+2 =

-3k+10

At least I was first answerer. It really helps to get brainliest, I calculated average so for every 20 questions you get 1 brainliest. I am working my way up to brainliest and questions help. I am also working up to Master Answerer

What is one of the solutions to the following system? Y-3=x, x2-6x+13=y

Answers

Answer:

x = 5,  x = 2

Step-by-step explanation:

substitute what y equals in the second equation into the first equation.

x²-6x+13-3=x

x²-7x+10 = 0

(x-5)(x-2) = 0

x = 5, x = 2

Answer:

It's C my man

Step-by-step explanation:

Find the area of the figure.

Answers

Answer:

First find the area of the rectangle.

length x width = area

160 x 20 = 3200 area of rectangle

150 - 20 = 130

160 - 110 = 50

length x width / 2 = area of triangle

130 x 50 = 6500 / 2 = 3250

3200+3250=6450 square meters

Hope this helps

Step-by-step explanation:

What is the range of the data
represented in the dot plot below?
2
3
0

Answers

Answer:

Range = 3

Step-by-step explanation:

First, start off by ordering the list from least to greatest. Then, subtract the least number (0) from the greatest number (3), which will get you the range of 3.

Hope this helps! :D

Hellllp someone please

Answers

Answer:

296

Explanation:

To solve this problem, subtract 128 from 424.

424 - 128

296

Therefore, Jacobs total score is 296 after he loses 128 points from 424 points.

Answer: 296 points

Step-by-step explanation:

424 - 128 = 296

4x (2x® - 7x2 + x)
O 8x4 - 28x3+4x2
o 16x - 7x2 +4x
o 8x4 - 7x2 + x
o 16x4 - 3x3+4x2

Answers

Answer:

8x^4 - 28x^3 + 4x^2.

Step-by-step explanation:

4x(2x^3 - 7x^2  + x)

= 4 * 2x^3 + 4x*-7x^2 + 4x*x

= 8x^4 - 28x^3 + 4x^2.

Answer:

8[tex]x^{4}[/tex]-28x³+4x²

Step-by-step explanation:

4x(2x³-7x²+x)=

8[tex]x^{4}[/tex]-28x³+4x²

2x³ × 4x = 8[tex]x^{4}[/tex]

7x² × 4x = 28x³

x × 4x = 4x²

I have no idea what im doing, can someone please help me? ASAP!!!! Use the pythagorean theorem to find the missing slide.

Answers

Answer:

1. b=√56

Step-by-step explanation:

1. Pythagorean therom states a²+b²=c² and in number 1 we are given the c or the hypotenuse so plugging in the values we know 13²+b²=15²

which equals 169+b²=225 subtract 169 from both sides and we get b²=56

square root both sides and we get b=√56

the numerator of a fraction is 1 more than twice its denominator if 4 is added to both the numerator and the denominator the fraction reduces to 5/3 find the denominator

Answers

Answer:

11

Step-by-step explanation:

Given Fraction

Let the denominator = x

The numerator is 2x + 1

2x + 1

=====

x

The new fraction

2x + 1 + 4

=========

x + 4

Equation

2x + 5               5

======    =     ====

x + 4                 3

Solution

Cross Multiply

3(2x + 5) = 5(x + 4)  

Remove the  brackets

6x + 15 = 5x + 20

Subtract 5x from both sides

6x - 5x + 15 = 20  

Subtract 15 from both sides

x = 20 - 15

x = 5

============

Answer

2(5) + 1 = 11

The original numerator is 11

 

x-y+z for x= 18,y=6,z=1

Answers

Answer:

We have been given the equation: x+y+z. Now these are variables. Thus, we have to fill in the values given: where x = 18, y = 6 and z = 1. Let's fill these values in.

x+y+z

= 18+6+1

= 18+(7)

= 25

Hope it Helps. Good luck on your assignment! (brainliest if possible)

Answer:

[tex] = 25[/tex]

Step-by-step explanation:

[tex]x + y + z[/tex]

Given that,

[tex]x = 18 \\ y = 6 \\ z = 1[/tex]

Let's solve

[tex]x + y + z \\ 18 + 6 + 1 \\ 24 + 1 \\ = 25[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

PLZ I need help, it's URGENT!

I don't know if my answers for problems 1-3 are correct, can someone help me please. Thx

Answers

#2 is correct 10x+35

NEED HELP. as soon as possible​

Answers

do you still need help with this?

help please very confused.

Answers

Answer:

12.

Step-by-step explanation:

Replace k in the radical by -2:

So we have √(-72*-2)

= √144

= 12.

Answer:

12

Step-by-step explanation:

[tex]\sqrt{-72(-2)} = \sqrt{144} = 12[/tex]

how to solve x - 7 = -13

Answers

Answer:

x = -6

Step-by-step explanation:

to solve this you can just add 7 to both sides of the equation.

x -+7 = -13

  +7      +7

x = -6

this works because since it puts the x by itself, the other side of the equation is then equal to x and typically in equations with variables you solve for the variables.

hope it helps!

Which represents "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent"?​

Answers

Answer:

True

Step-by-step explanation:

Answer:

Step-by-step explanation:

Is there an easy way to solve (5x - 8y +7z) + (6y - 4x - 3z)???

I'll mark you as brainliest if you help me

Translation to French/Francais
Existe-t-il un moyen facile de résoudre (5x - 8y + 7z) + (6y - 4x - 3z) ???

Je te marquerai comme le plus intelligent si tu m'aides

Translation to Russian
Есть ли простой способ решить (5x - 8y + 7z) + (6y - 4x - 3z) ???

Я отмечу тебя как самого умного, если ты поможешь мне
Translation to Tamil
(5x - 8y + 7z) + (6y - 4x - 3z) தீர்க்க எளிதான வழி இருக்கிறதா ???

நீங்கள் எனக்கு உதவி செய்தால் நான் உங்களை மூளையாகக் குறிப்பேன்

Answers

______________________________

Hey!!

Solution,

(5x-8y+7z)+(6y-4x-3z)

= 5x-8y+7z+6y-4x-3z

= 5x-4x-8y+6y+7z-3z

= x-2y+4z

Hope it helps..

Good luck on your assignment

_____________________________

∠1 and ∠2 are supplementary. If m∠1 = (3x - 17)° and m∠2 = (5x + 21)°. Find the value of x.

Answers

Answer:

Step-by-step explanation:

∠1 + ∠2 = 180   {supplementary}

3x  - 17  + 5x + 21 = 180    

Add the like terms

8x  + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Answer:

x = 22

Step-by-step explanation:

Supplementary angles add to 180

<1+ <2 =180

(3x - 17) + (5x + 21) = 180

Combine like terms

8x +4 = 180

Subtract 4 from each side

8x +4-4 = 180-4

8x = 176

Divide each side by 8

8x/8 = 176/8

x = 22

Pls help me to solve this

Answers

Answer:

see below

Step-by-step explanation:

19-3 will be greater

We are multiplying 1/2 *(19-3) which is multiplying by a number less than 1 it will be less than 1

18-3 = 16

1/2 * (19-3)

Using PEMDAS

We do parentheses first

1/2 ( 16)

Then multiply

8

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