To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before
adding the equations together?
First Equation: 5x - 4y = 28
Second equation: 3x - 3y = 30
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 3 and the Second equation by -5.
The first equation should be multiplied by 9 and the second equation by 4
The first equation should be multiplied by 9 and the second equation by -4.
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Answers

Answer 1

Answer:

To eliminate y- terms

Multiply equ(1) by 3 and equ(2) by -4

To eliminate y- terms

Multiply (1) by 3 and (2) by -5

Step-by-step explanation:

5x - 4y = 28 (1)

3x - 3y = 30 (2)

To eliminate y- terms

Multiply equ(1) by 3 and equ(2) by -4

15x-12y=84

-12x+12y= -120

Add equ (3) and (4)

3x=84-120

3x=-36

x=-36/3

= -12

x=-12

To eliminate x- terms

5x-4y=28

3x-3y=30

Multiply (1) by 3 and (2) by -5

15x-12y=84

-15x+15y=-150

Add the new equation

3y= -66

y= -22


Related Questions

Scratchpad
The value of b when solving the equation 2 (b+12)=16

Answers

Answer:

b = -4

Step-by-step explanation:

Divide by 2:

b + 12 = 8

b = -4

Answer:

B = -4

Step-by-step explanation:

Take,

-4 + 12 = 8

Then,

8 x 2 = 16.

Which of the following best describes the graph shown below?

Answers

Answer:

B. This is a graph of a one to one function

Answer:B

Step-by-step explanation:

3.
Which of the following points lie on the x-axis?
(A) (3,4)
(B) (7,0)
(C) (0,8)
(D) (-9,0)

(F) (-3,-5)

Answers

Answer:

D and B is the answer

Step-by-step explanation:

Here is a graph with the points

2 Points
Is either x = 20 or x = 12 a solution to x-8 = 4?
A. x = 20 is a solution, but x= 12 is not.
O B. Neither is a solution.
O c. x = 12 is a solution, but x = 20 is not.
O D. They are both solutions.​

Answers

The answer is C because 8+4= 12

can 2x + 3y be simplified?

Answers

Answer:

no

Step-by-step explanation:

Find median of the data. 14, 18, 16, 122, 22, 19, 12

Answers

Answer:

18

Step-by-step explanation:

The order from least to greatest is 12,14,16,18,19,22,122.

The middle number is 18 because there is 3 numbers next to 18 on the right which is 19,22,122 and 3 numbers on the left which is 12,14,16. A median would be easier to find if there is an odd amount of numbers.  

sum interior of polygon help!

Answers

540 degree = interior angles

Answer:

180

Step-by-step explanation:

if b=6, what is 12b​

Answers

Answer:

72

Step-by-step explanation:

12b

Let b = 6

12*6

72

Answer:

72

Step-by-step explanation:

You have to take 12 times 6 because b=6.

so 12b=12 times 6

12 times 6= 72

Solve the simultaneous equation.
7a+3b=46
4a+5b=69

Answers

Answer:

a=1 and b=13

do you need the working out?

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300\text{ mL}300 mL300, start text, space, m, L, end text of cherry juice.

Answers

Answer:

1.2Litres

Question:

Wes mixed different juices to make fruit punch. He filled one-half of the punch bowl with orange juice. Then he filled half of the remaining space with grape juice. Finally, he filled the rest of the punch bowl with 300 mL300\text{ mL}300 mL300, space, m, L of cherry juice. How many liters of fruit punch did Wes make?

Step-by-step explanation:

Let the total punch bowl be = P

Portion of Orange juice = ½ of total punch bowl

= ½ × P = P/2

Portion of grape = ½ of the remaining space

Remaining space = P - P/2 = P/2

Portion of grape = ½ × P/2 = P/4

The rest of the punch bowl is for cherry = 300mL

P/2 - P/4 = 300

(2P - P)/4 = 300

P/4 = 300

P = 300×4

P = 1200mL

1mL = 10^(-3)L

P = 1.2 ×10³ × 10^(-3)L

P = 1.2L

Wes made 1.2liters of fruit punch.

Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?

$___

Answers

Answer:

$7.50

Step-by-step explanation:

Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!

There are 24 students in Julie’s class. 6 of these students are boys. What percent of the class are boys

Answers

Answer:

25%

Step-by-step explanation:

Take the number of boys over the total

6/24

1/4

Change to a decimal

.25

Change to a percent

25%

part 2. Find the missing sides for each 30 60 90 triangles. Show work please.​

Answers

5. tan(30) =4/g

g = 4/tan(30)

g = 4√3

sin(30) = 4/h

h = 4/sin(30)

h = 8

6.

tan(30) = 14/l

l = 14/tan(30)

l = 14√3

sin(30) = 14/m

m = 14/sin(30)

m = 28

7.

sin(30) = j/50

j = 50 x sin(30)

j = 25

cos(30) = k/50

k = 50 x cos(30)

k = 25√3

What is the percent change if a shirt that cost $36 goes on sale for $24? Round your answer to the nearest tenth. Please solve in the "show your work box" below. You may use the pen tool, or you can use the text tool and type your answer. Then select the correct answer. You MUST show work to get full credit.

Answers

Answer:

33.3%

Step-by-step explanation:

Take the original price and subtract the new price

36-24=12

Divide this by the original price

12/36 = 1/3 = .33333repeating

Multiply by 100 % to get to percent form

.3333 repeating * 100%

33.3333%

Round to the nearest tenth

33.3%

Hosiste product of 2 and 5 shown on anumber ine?

Answers

[tex]the \: right \: answer \: is \: of \: option \: d \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]

POR FA AYUDA URGENTEMENTE Dado los puntos A(-1;3) , B(2;5) y C(3;-1). Calcule 3(BA)VECTOR - 4 (CB)VECTOR

Answers

Answer:

the answer should be c

Step-by-step explanation:

Direct Variation: If y = 9, when x = -3, find x when y = -27. a.9 b.27 c.-27 d,-9

Answers

Answer:

a. 9

Step-by-step explanation:

[tex]k = \frac{9}{-3} = -3\\y = -3x\\-27 = -3x\\\frac{-27}{-3} = \frac{-3x}{-3} \\9 = x[/tex]

Answer:

a. 9

Step-by-step explanation:

because the orginal number was 9 and the newer one is -27 we can determine that y was multiplied by -3 so you would apply the same rule to -3 or x and you would get a product of 9 because two negatives equals a postive

HELP PLEASE !! NEED HELP ASAPPP !! Will give brainliest !!!

1. what is the measure of angle B? (image included below)


2. What is the value of x? (image included below)

Answers

Answer:

1. 47 2. 49

Step-by-step explanation:

1st is complementary and second is supplementary

Answer:

Step-by-step explanation:

b+43˚=90˚

subtract 43˚ from both sides of the equation

b=47˚

3x+33˚=180˚ (because it's a straight angle)

subtract 33˚ from both sides

3x=147˚

divide both sides by 3

x= 49˚

Central High School plays Eastern High School in a basketball game. Eastern had double the score of Central before Central scored a three-pointer as the game ended.

The variable, c, represents Central's score before the three-pointer. Express the total points scored in the game as a variable expression. Check all that apply.

2c + c
2c + 3
3c + 3
2c + c – 3
2c – c + 3
2c + c + 3

Answers

Answer:

3c + 3

hope this helps.

Answer:

3c + 3

and

2c  + c + 3

At a sale , dresses were sold for 35% of their original price. If the dresses originally cost 40$ each how much did a dress cost on sale

Answers

Answer:

$14

Step-by-step explanation:

35% is the same as multiplying by .35

40 * .35 = 14

Which is equivalent to “4 pencils for every 2 students”?

Answers

Answer:

8 pencils for every 4 students or 2 pencils for every students

Step-by-step explanation:

Whatever you want to multiply or divide one from, you gotta do it to the other number so it can stay equivalent

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form?

9xy3 – 4y4 – 10x2y2 + x3y + 3x4 + 2x2y2 – 9y4

–13y4 + 3x4 – 8x2y2 + x3y + 9xy3
–13y4 + x3y – 8x2y2 + 9xy3 + 3x4
3x4 – 8x2y2 + x3y + 9xy3 – 13y4
3x4 + x3y – 8x2y2 + 9xy3 – 13y4

Answers

Answer:

D. [tex]3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]

Step-by-step explanation:

[tex]9xy^3 - 4y^4 - 10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4 =[/tex]

[tex]= 9xy^3 - 13y^4 - 8x^2y^2 + x^3y + 3x^4[/tex]

[tex]= 3x^4 + x^3y - 8x^2y^2 + 9xy^3 - 13y^4[/tex]

The standard form of a polynomial is the general way of writing the polynomial.

The standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

The polynomial expression is given as:

[tex]9xy^3 - 4y^4 -10x^2y^2 + x^3y + 3x^4 + 2x^2y^2 - 9y^4[/tex]

Collect like terms

[tex]9xy^3 - 4y^4 - 9y^4 -10x^2y^2 + 2x^2y^2 + x^3y + 3x^4[/tex]

Evaluate the like terms

[tex]9xy^3 -13y^4 -8x^2y^2 + x^3y + 3x^4[/tex]

Rewrite the polynomial in decreasing order of the power of x

[tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

Hence, the standard form of the polynomial is (d) [tex]3x^4 + x^3y -8x^2y^2 9xy^3 -13y^4[/tex]

Read more about polynomials at:

https://brainly.com/question/2833285

6= -3 + r

solve for r

Answers

Answer:

6=-3+r

r=9

Step-by-step explanation:

Answer:

9=r

Step-by-step explanation:

6=-3+r

+3 = +3

add 3 to both sides

9=r

Please solve each algebraically : a) 5w= 30 b) 3x - 5 = 16 c) 10 - t = 17 d) n/5 = 18 e 4w -12 =2w + 3 THANK YOU!

Answers

Answer:

w=6, x=7, t=7, n=90, w=15/2

Step-by-step explanation:

a) 5w = 30

30/5 = 6

w=6

b) 3x-5=16

Add 5 to each side.

3x+5=16+5

3x=21

21/3=7

x=7

c) 10-t=17

10-t=17

17-10-7

-t=-7

Negative and a negative is a positive.

t=7

d) n/5 = 18

n=18 * 5

n=90

e.) 4w-12=2w+3

4w=2w+3+12

4w=2w+15

4w−2w=15

2w=15

w= 15/2

Please help with this

Answers

Answer:

bruh

Step-by-step explanation:

What is the domain of the function on the graph?
1. all real numbers
2. all real numbers greater than or equal to 0
3. all real numbers greater than or equal to -2
4. all real numbers greater than or equal to -3
(look at attached graph)

Answers

Answer:

3. All real numbers greater than or equal to -2

Solve for n. 11(n – 1) + 35 = 3n plz help

Answers

[tex]answer \\ = - 3 \\ solution \\ 11(n - 1) + 35 = 3n \\ or \: 11n - 11 + 35 = 3n \\ or \: 11n + 24 = 3n \\ or \: 11n - 3n = - 24 \\ or \: 8n = - 24 \\ or \: n = \frac{ - 24}{8} \\ n = - 3 \\ hope \: it \: helps[/tex]

Helpppp meeeeee plsssssss

Answers

Answer:

a)3⁴

b)7⁵

c)10²

d)5⁷

Step-by-step explanation:

a)3²×3² = 3^2+2=3⁴

b)7×7⁴=7¹×7⁴=7^1+4=7⁵

c)10⁹÷10⁷=10^9-7=10²

d)5⁸÷5=5⁸-5¹=5^8-1=5⁷

Given a right triangle with sides a = 3 , b = 4, and c = 5. Find the missing side c of another right triangle with a = 6 and b = 8 ? Explain your answer. plz answer

Answers

Answer:

c=10

Step-by-step explanation:

c² =8²+6²

c² =64+36

c²= 100

[tex] \sqrt{100} [/tex]

= 10

HELP ASAPPPP !!!! NEED ANSWERS NOW!!
1. Find the other endpoint of the line segment with the given endpoint and midpoint.

Endpoint 1: (−10,6)

Midpoint: (7,−6)

2nd endpoint: (_____,____)

2. Find the other endpoint of the line segment with the given endpoint and midpoint.

Endpoint 1: (−1,0)

Midpoint: (−10,2)

2nd endpoint: (____,____)

Answers

Answer: 1. 2nd endpoint  (24,-18)       2. 2nd endpoint: (-19,4)

Step-by-step explanation:

1.   [tex]\frac{-10+x}{2}[/tex] = 7  x = 24

    [tex]\frac{6+y}{2}[/tex] = -6    y= -18

2nd endpoint: (24,-18)

   

2.  [tex]\frac{-1+x}{2}[/tex] = -10   x= -19  

   [tex]\frac{0+y}{2}[/tex] =  2     y= 4

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