solve x + 4y = 14 and 3x + 3y = 15 by elimination

Answers

Answer 1

Answer:

you have to subtract 3y and then you do the same on the other side, then you end up with two numbers where you divide them and that will be your result

Step-by-step explanation:

Answer 2

Answer:

(2, 3 )

Step-by-step explanation:

Given the 2 equations

x + 4y = 14 → (1)

3x + 3y = 15 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 3x - 12y = - 42 → (3)

Add (2) and (3) term by term to eliminate x, that is

0 - 9y = - 27

- 9y = - 27 ( divide both sides by - 9 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (1)

x + 4(3) = 14

x + 12 = 14 ( subtract 12 from both sides )

x = 2

solution is (2, 3 )


Related Questions

write the rate as a unit rate of 120 and 15

Answers

A unit rate is basically a fraction with 1 as its denominator so first thing you would do is make the two numbers 120 and 15 into a fraction which is 120/15 then simplify that and you should get 24/1 so the answer is 24/1 I hope that helps

Help me plz.................

Answers

Answer:

x = 7.5

Step-by-step explanation:

Given that the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{9}{x}[/tex] = [tex]\frac{6}{5}[/tex] ( cross- multiply )

6x = 45 ( divide both sides by 6 )

x = 7.5

Help can you please solve this.

Answers

Answer:

x= -2

Step-by-step explanation:

7x+26+5x=2

7x+5x=12x

12x=2-26

12x= -24

(divide both sides by 12)

x= -2

Answer:

[tex]7x + 26 + 5x = 2 \\ 12x = 2 - 26 \\ 12x = - 24 \\ x = - 2[/tex]

plzz mark as brainliest

A box of cereal advertises that it now has 250% as many raisins as the old package had. If the old package had 2 cups of raisins, how many cups of raisins are in the new box?
A. 3
B.. 5
C. 6
D. 8

Answers

answer: B.5

i got the answers from the test

Answer:

b5

Step-by-step explanation:

Please help me I I will give you a Brainly

Answers

Step-by-step explanation:

by deleting

9y = -9

y = -1

6x - 4 = -10

6x = -6 then x = -1

Select the correct answer.
Simplify the expression so there is only one positive power for each base.

Answers

i’m pretty sure it’s c but if i’m wrong i’m sorry

Answer:

A. is the correct answer

Step-by-step explanation:

got it correct on the unit test

PLEASE HELP AS SOON AS POSSIBLE!!!!WILL GIVE BRAINLY TO CORRECT ANSWER!!!!

Answers

Answer:

The correct option which best describes this method is:

Find half of 24 to calculate the radius. Then square the radius and multiply the result by [tex]\pi[/tex]

Option D is correct option.

Step-by-step explanation:

The circumference of table top = 24 [tex]\pi[/tex] inches

We need to find area of table top

The formula used to find area is: [tex]Area = \pi r^2[/tex]

We need to find radius of tabletop.

The formula used to find circumference is: [tex]Circumference = 2\pi r[/tex]

Putting value of circumference we can find radius

[tex]Circumference = 2\pi r\\24\pi =2\pi r\\r=\frac{24\pi}{2\pi}\\r=12[/tex]

So, radius of table top = 12

Now, finding the area:

[tex]Area = \pi r^2\\Area=\pi(12)^2\\Area=3.14(144)\\Area=452.16\:inches^2[/tex]

So, the correct option which best describes this method is:

Find half of 24 to calculate the radius. Then square the radius and multiply the result by [tex]\pi[/tex]

Option D is correct option.

(3x^2-2x+2)(3x^2+2x-4)

Answers

Answer:

9x^4 - 6x^3 + 4x - 4

Step-by-step explanation:

I got this answer but I don't know if I am correct. That's what i understood based off what you wrote.

in algebra class with 30 students kids were put in groups of 4 if 2 students were left over how many groups of 4 students will there be

Answers

Answer:

7 groups of 4.

Step-by-step explanation:

hope this helps!

please help!! thanks

Answers

Answer:

We conclude that the gradient of the line is: 2/3

Step-by-step explanation:

It is clear that the given graph represents a line or linear function.

From the graph, taking two points

(3, 0)(0, -2)

Finding the gradient or slope of the line

Using the formula

Gradient = m =  [y₂ - y₁] /  [x₂ - x₁]

                      =  [-2 - 0] / [0 - 3]

                      = -2 / -3

                       = 2/3

Thus, the slope of the line = m = 2/3

Therefore, we conclude that the gradient of the line is: 2/3

How far would you travel if you drove 60 miles per hour for 3 hours?

please help i dont wanna fail my dad is making it hard already and my dinner is almost done...

Answers

Answer:

Without stopping?  180 miles

Step-by-step explanation:

The rate of people entering a safari tour is modeled by the equation p(t) = 200e ^ (- t) for the first 5 hoursEstimate the population density on a 2.000 km ^ 2 animal reserve for t = 2 to t = 4usir using the midpoint sum approximation with 6 subintervals . Round to the nearest person .

Answers

Answer:23

Step-by-step explanation:

suppose a number cube labeled from 1 to 6 is rolled and the spinner below is spun one time. what is the probability of rolling a number less than 4 and spinning a consonant?​

Answers

Ok you have two events here so you find the probability of each and multiply them together.

Number cube less than 4 = 3/6 or 1/2
Consonant= (I can’t see a picture but count the number of consonants for your numerator and the total letters is your denominator

Answer:

3/10

Step-by-step explanation:

.

what's 1/4 x 1/3 please

Answers

Answer:1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

Solve for x: x — 10 = 3х – 12

Answers

Answer:

x=1

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x−10−3x=3x−12−3x

−2x−10=−12

Step 2: Add 10 to both sides.

−2x−10+10=−12+10

−2x=−2

Step 3: Divide both sides by -2.

−2x/−2 = −2/−2

x = 1

Find the value of c. Give the answer in simplest radical form.

Answers

Answer:

x = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + (2[tex]\sqrt{2}[/tex] )² = 4²

x² + 8 = 16 ( subtract 8 from both sides )

x² = 8 ( take the square root of both sides )

x = [tex]\sqrt{8}[/tex] = 2[tex]\sqrt{2}[/tex]

solve by factorising x² + 11x + 30 = 0
dont get think one could someone explain this please.

Answers

Answer:

x={-5,-6}

Step-by-step explanation:

x²+11x+30=0

x²+5x+6x+30=0 (as 5*6=30 and 5+6=11)

x(x+5)+6(x+5)=0

(x+5)(x+6)=0

so

x+5=0

x+6=0

therefore

x=-5

x=-6

Answer:

x = - 6, x = - 5

Step-by-step explanation:

Given

x² + 11x + 30 = 0

Consider the factors of the constant term (+ 30) which sum to give the coefficient of the x- term (+ 11)

The factors are + 6 and + 5 , since

6 × 5 = 30 and 6 + 5 = 11, then

x² + 11x + 30 = 0

(x + 6)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x + 5 = 0 ⇒ x = - 5

The diagram at right is the floor plan of Randy's apartment. All measurements are in feet. Use the diagram to answer the following questions.

Answers

Answer:

length 70 and width 35

Step-by-step explanation:

The dimensions (length and width) of Randy's living room are,

10 by 15 feet.

What is the rectangular shape?

Quadrilaterals with parallel sides that are equal to one another and four equal vertices are known as rectangles.

The given diagram is the floor plan of Randy's apartment.

All measurements are in feet.

From the diagram:

The dimensions (length and width) of Randy's living room are,

10 by 15 feet.

Therefore, the dimensions are 10 by 15 feet.

To learn more about the rectangular;

brainly.com/question/21416050

#SPJ2

help i need to know this quickly please

Answers

Answer:

i dont know

Step-by-step explanation:

sorry but pleasr still work hard!

Last year George sold $82 worth of vanishing potion. This year he sold $118 of it. What percent of last year's sales is this year's sales?

Answers

Answer:

70%

Step-by-step explanation:

Given data

Last years worth of vanishing potion= $82

This years worth of vanishing portion= $118

Note: Another way of asking this question is "what percent of $82 is $118"

So

=82/118*100

=0.69*100

=69%

=70% approx

Hence last years sale is 70% of this year's sales

Is the product of 41/32 and 12/46 greater than, less than or equal to 12/6?

Answers

Question:

Is the product of 41/32 and 12/46 greater than, less than or equal to 12/6?

Solution:Step 1: Find the product of 41/32 and 12/46.

[tex] \frac{41}{32} \times \frac{12}{46} [/tex]

[tex] = \frac{41}{8} \times \frac{3}{46} [/tex]

[tex] = \frac{123}{368} [/tex]

Step 2: Compare.

[tex]123 \times 6 = 738[/tex]

[tex]368 \times 12 = 4416[/tex]

[tex]738 < 4416[/tex]

[tex] \frac{123}{368} < \frac{12}{6} [/tex]

Answer:

less than

#CarryOnLearning

find the area and perimeter of the shape below​

Answers

Step-by-step explanation:

what is that X, and X²???

Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting
charges $10 plus $9 per hour. Darlene's Dog Sitting charges $18 plus $7 per hour?

Answers

Answer

The cheaper dog sitter is Derrick's.

Step-by-step explanation:

You did not really ask a question here but i am assuming that your asking who is the cheaper route.

Please can anyone help?

Answers

Answer:

coefficient

Step-by-step explanation:

Answer:

Coefficient

Step-by-step explanation:

convert y = -2x +5 to point slope form

Answers

Answer:

Converting y = -2x +5 to point-slope form will be:

[tex]y - 5 = -2(x-0)[/tex]

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where

m is the slopeb is the y-intercept

Given the equation

[tex]y = -2x +5[/tex]

comparing with the  slope-intercept form

Slope of the line = m = -2

The y-intercept b = 5

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

Thus, the ordered pair or point representing the y-intercept will be:

(0, 5)

Now, we have

The slope = m = -2The point = (0, 5)

Now, using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

substituting the values m = -2 and the point (x₁, y₁) = (0, 5)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 5 = -2(x-0)[/tex]

Therefore, converting y = -2x +5 to point-slope form will be:

[tex]y - 5 = -2(x-0)[/tex]

Emma is playing miniature golf. Her ball is 2 feet of the right-wall. The hole is 4 feet to the left of the wall. The distance along the wall between her ballet and the hole is 18 feet. There is an obstacle between between her ball and the hole, so Emma must hit her ball off the right-hand wall to reflect it towards the hole. How far down the wall should she aim?

Answers

Answer:

She should aim 6 feet down the wall

Explanation:

The diagram attached sketches the situtation.

Since the angle with which the ball hits the wall is the same with which it bounces, angle β is the same for the two shown triangles.

Then, since both are right triangles, then all the angles are congruent and the triangles are similar. Hence, you can equal the ratios of the sides, to make an equation:

x/4 = y/2 ⇒ x = 2y

You have other equation:

x+ y = 18

Substitute

2y + y = 18

3y = 18

y = 18/3

y = 6 ← this is the distance down the wall where the ball should hit

x = 2(6) = 12

Then, she should aim 6 feet down the wall.

solve for x
4х + 2 = 3х - 7

Answers

X=-9 is the answer!!!!
4x + 2 = 3x - 7
- 2 - 2
4x = 3x - 9
- 3x
X = -9

Given m|n, find the value of x.
t
(7x+3)
m
(8x+1)°

Answers

86.56 so we can do 6(x.3) by .(57)2

Answer:

86.56 so we can do 6(x.3) by .(57)2

Step-by-step explanation:

PLSSSSSSS HELP 9th Grade Math

Answers

Answer:

Here's  9th grade answer from one high-schooler to another

Step-by-step explanation:

The answers 9 i believe since you have to isolate the variables and subtract them  

find a quadratic polynomial the sum and product of whose zeroes are -3 and 2 respectively​

Answers

Answer:

x²+3x+2

Step-by-step explanation:

According to Vieta's formula x²-(sum of roots)x((product of roots)=0

Therefore x²-(-3)x+2=0

=x²+3x+2

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