Which of these strategies would eliminate a variable in the system of equations?2x−5y=13
−3x+2y=13
A. Multiply the top equation by 2, multiply the bottom equation by 3, then add the equations.
B. Subtract the bottom equation from the top equation
C. Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.

Answers

Answer 1

Answer:

We conclude that when we multiply the top equation by 3, multiply the bottom equation by 2, then add the equations, it would eliminate the variable 'x'.

Thus, option (C) is true.

Step-by-step explanation:

Given the system of the equation

2x−5y=13

−3x+2y=13

Multiply the top equation by 3

3(2x−5y) = 3(13)

6x - 15y = 39

Multiply the bottom equation by 2

2(−3x+2y) = 2(13)

-6x + 4y = 26

Adding both equations

6x - 15y = 39

+

-6x + 4y = 26

___________

0x - 11y = 65

-11y = 65               ∵ x variable eliminates

Divide both sides by -11

y = -65/11

Therefore, we conclude that when we multiply the top equation by 3, multiply the bottom equation by 2, then add the equations, it would eliminate the variable 'x'.

Thus, option (C) is true.


Related Questions

Two kinds of tickets to an outdoor concert were sold: lawn tickets and seat tickets. Less than 400 tickets in total were sold. Lawn tickets cost $30 each and seat tickets cost $50 each. The organizers want to make at least $14,000 from ticket sales.

Write a system of inequalities to represent the situation. Be sure to define your variables.

Answers

Answer:

Tickets to sit on the bench (b) = 150

Tickets to sit on the lawn (l) = 200

Step-by-step explanation:

Tickets to sit on a bench (b)cost $75 each.

Tickets to sit on the lawn (l) cost $40 each

350 tickets had been sold

$19,250 had been raised through tickets sales

This forms a simultaneous equation:

b + l = 350 ... (i)

75b + 40l = 19,250 ... (ii)

Multiplying (i) by 40 and (ii) by 1 we get;

40b + 40l = 14,000 ... (i)

75b + 40l = 19,250 ... (ii)

Subtracting (ii) - (i) we get;

35b = 5250

b = 5250 ÷ 35 = 150

Answer:

X+=4

Step-by-step explanation:

I did it

Which statement best describes the effect of replacing the function f(x) = 2x − 2 with the function g(x) = 2x + 3? (1 point)

The graph shifts 1 units left.
The graph shifts 5 units left.
The graph shifts 1 unit right.
The graph shifts 3 units right.

Answers

Answer:

The graph shifts 5 units left

Step-by-step explanation:

The original function's k is -2. The second is 3. The difference from -2 and 3 is 5 units apart.

Find all values of x that make the equation true.
3/x-4 = x-5/x

Answers

X = -2 - 2(square root)3 or x = -2 + 2 (square root )3

The solution of the given equation are;  X = -2 - 2√3 or x = -2 + 2 √3

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

We have been given an equation as 3/x-4 = x-5/x

Therefore, 3/x-4 = x-5/x

3 - 4x /x = x² - 5 / x

Cancel out the denominator;

3 - 4x =  x² - 5

x² - 5 - 3 + 4x = 0

x² - 8 + 4x = 0

x² + 4x - 8 = 0

For the value of x;

x = 4 + √16 + 32 / 2

x =  -2 + 2√3

OR

x = 4 - √16 + 32 / 2

x = -2 - 2√3

Hence, The solution of the given equation are;  X = -2 - 2√3 or x = -2 + 2 √3

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ2

What is the solution of the equation x + 12.23 = 28.659?
X =

Answers

Answer:

X=16.429

Step-by-step explanation:

move the constant to the right

calculate

28.659-12.23

=

16.429

On January 1, 2014, the federal minimum wage was $7.25 per hour. Which graph has a slope that best represents this rate? Will give brainliest!!

Answers

Answer:

the answer is c

Step-by-step explanation:

i did it on paper

if m<1 = 3x - 3 and m<5 = 7x + 23, for what value of x is l||m

Answers

Answer:

x= 12

Step-by-step explanation:

A high school basketball team scored 60 points in last week’s game. The team scored a total of 27 baskets; some were two-point shots and some were three-point shots. How many two-point shots did they make? How many three-point shots did they make?


x + y = 27,


2x + 3y = 60



What is the solution of the system of equations, and what does it represent?


options:

(6, 21); 6 two-point shots and 21 three-point shots

(6, 21); 6 three-point shots and 21 two-point shots

(21, 6); 21 two-point shots and 6 three-point shots

(21, 6); 21 three-point shots and 6 two-point shots

Answers

Answer:

the answer is (21, 6); 21 two-point shots and 6 three-point shots

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

i did the test

Can someone help me!!

Answers

Answer:

$642

Step-by-step explanation:

To calculate sales tax, you multiply the percentage by the price. In this case it would be 600 x 0.07 which is 42. Then you add them together which would be 600 plus 42 which equals 642.

Kąty α i β są kątami przyległymi. Kąt wyznaczony przez dwusieczne kątów α oraz β ma miarę A) 90∘ B) 4 5∘ C) 60∘ D) różną, w zależności od miar kątów α i β

Answers

Answer:

i have

Step-by-step explanation:

i dont even know good luck

The Rodriguez family's ate 1/3 of a pan of brownies, they will take One part to their block party and the other to share with the co-workers. How much of the whole pan of brownies will each plate get?

Answers

Answer:

[tex]\dfrac{1}3[/tex]

Step-by-step explanation:

Given that:

Part of pan of brownies eaten by Rodriguez family = [tex]\frac{1}{3}[/tex]

One part of the remaining pan of brownies will be taken to the block party.

And the other part of the remaining pan of brownies will be given to the co-workers.

To find:

How much of the whole pan of brownies will be in each plate?

Solution:

First of all, let us find the remaining part of brownies after the family ate [tex]\frac{1}{3}[/tex] part of the pan.

Remaining = [tex]1-\frac{1}{3}=\frac{2}{3}[/tex]

Now, from the remaining pan of brownies, they are divided in 2 halves.

These part will be equal to:

[tex]\dfrac{\frac{2}{3}}{2} = \bold{\dfrac{1}{3}}[/tex]

Therefore, the answer is:

[tex]\dfrac{1}3[/tex]

PLEASE HELP! Will give brainliest
5. What is the next term of the sequence -3, 6, -12, 24,... , and what it's arithmetic sequence?

Answers

Answer:

a(5)=-48

Step-by-step explanation:

I think u r confused

this sequence is geometric not arithmetic

HOw we know that ??

when we get a common difference  that must Be equal  

d=6+3=9  not equal to  d=-12-6=-18

So it is not arithmetic

but when we get the common ratio that also must be equal

r=6/-3=-12/6=24/-12=-2   equal

So it is geometric

By using this equation:

a(n)=a*r^(n-1)

and we have a=-3 , r=-2

Then       a(n)=-3*(-2)^(n-1)

To get the next term:

a(5)=-3*(-2)^(5-1)

a(5)=-3*(-2)^(4)

a(5)=-3*16=-48

I really hope this helps <3

In each bouquet of flowers, there are 5 roses and 8 white carnations. Complete the table to find
many roses and carnations there are in 5 bouquets of flowers.




There are (____) roses and (____) carnations in 5 bouquets

Answers

Answer:

25 roses and 40 white carnations

Step-by-step explanation:

Answer:

25 roses and 40 white carnations is the answer hope this helps:)

Step-by-step explanation:

The cost price of a washing machine is $15,480 if the selling priceis $17,000 what is the profit or loss

Answers

Answer:

profit

Step-by-step explanation:

the actual price is 15 480 and the seller sold it for 17 000

which he made a profit of 1520

Number 17 please help?
Pls

Answers

Answer:

B

Step-by-step explanation:

Please please help and show how you got the answer! I WILL MARK YOU AS BRAINLIEST

Answers

Answer:

DE < EF < DF

Step-by-step explanation:

since DE(16) is shorter then DF(23), DE < DF

EF's range is in the middle of DE and DF, so the correct answer would be

DE < EF < DF

2x* + 8x8 – 25x² - 6x +14 ?
Which expression is equivalent to
x +6
(1) 2x3 + 4x² + x - 12 +
86
r +6
(2) 2x3 – 4x2
-x + 14
(3) 2x3 - 4x2 - r +
14
1 +6
(4) 2x² - 4x² – x
Please help

Answers

Answer:

B ;  2x^3-4x^2-x+\frac{14}{x+6}

Step-by-step explanation:

Question 5 (1 point)
Supplementary angles always
оа
b
equivalent.
add up to 180 degrees.
add up to 360 degrees.
add up to 90 degrees.
ос
Od

Answers

A: Add up to 180 degrees

plzzzz some one help I want step by step I'm confused What's 5⁄6 of £300

Answers

Answer: 15

Step-by-step explanation:

help me on this question

Answers

Answer:

Step-by-step explanation:

a) 16^ (-1/4)=2^4(-1/4)=2^-1=1/2

b) 27*9^3x=

we write 27=3^3

9=3^2*3x=3^6x

3^3 x 3^6x=   k=3+6x

-11/12 minus
3/8
Select one:
A.
-1 7/24
B.
-8/24
C.
8/4
D
-13/24

Answers

Answer:

A

Step-by-step explanation:

this is also -31/24 or -1 7/24 in mixed number form

The answer for this question is A

One week the music store sold 2 trumpets, 3 clarinets, and 5 violins for $1,240. The next week, they sold 3 trumpets, 1 clarinet, and 4 violins for $1,027. The following week, they sold 5 trumpets, 7 clarinets, and 2 violins for $2,091. Find the cost of a trumpet, clarinet, and violin.

Answers:
Trumpet:
Clarinet:
Violin:

Answers

Answer:

Cost of Trumpets: $174

Cost of Clarinets: $149

Cost of Violins: $89

Step-by-step explanation:

Got it correct

what is 6÷102??
for math ​

Answers

0.05882352941
Or just 0.05

Carson is checking his work with Katie and finds that they disagree on a problem. Here’s what Katie wrote:

3x + 3 ≤ −2x + 5

3x ≤ −2x + 2

x ≤ 2



Is she right? Explain.

Answers

Answer:

-3 < 2x + 5 ≤ 7

Step-by-step explanation:

An inequality is a sentence with <, >, ≤, or ≥ as its verb. ... Similar statements hold for a ≤ b. ... To check, we can graph y1 = 3x - 5 and y2 = 6 - 2x. ... x ≤ 1. The solution set is {x|x ≤ 1}, or (-∞, 1]. The graph of the solution set is shown below. ... The sentence -3 < 2x + 5 ≤ 7 is an abbreviation for the preceding conjunction.

Javier simplified the expression below. Find and
describe the three mistakes he made.
20x
- (203) = (5x®]* _ 5x * to
(5x®)» (20x)} – 20.x* *4

Answers

Answer:

Step-by-step explanation:

Javier did not raise the coefficients to the third power

When Javier raised [tex]x[/tex] to the third power, he wrote that [tex](x^1)^3=x^4[/tex], but it equals [tex]x^3[/tex].

In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.

pls help me with this question.

Answers

Answer:

Option B

Step-by-step explanation:

Slope = Change in y / Change in x

Slope = (8 - 2) / {6 - (-4)}

Slope = 6 / (6 + 4)

Slope = 6 / 10

Slope = 3 / 5

So option B is your answer

Pls explain how to solve this problem pls ASAP if you know it pls!

Answers

I’m pretty sure it’s A !

URGENT LOTS OF POINTS

Answers

Answer:

+2

Step-by-step explanation:

Answer:

its +2

Step-by-step explanation:

PLZ THANK FIVE STARE AND GIVE BRAINLIEST.

Which equation demonstrates the distributive property? A = 7(1+6)=7(6+1) B = (7x1) x 6 = 7(1x6) C = (7x1) x 6 = 7(6x1) D = 7(1+6) = (7x1) + (7x6) HELP END OF SEMSSTER

Answers

Answer:

D. 7(1+6) = (7x1) + (7x6)

Step-by-step explanation:

Let A, B and C be any integer or function. According to distributive property;

A(B+C) = AB + AC

From the expression, you can see that A is distributed over B and C during the expansion.

Based on this same concept, the equation that  demonstrates the distributive property from the given options is 7(1+6) = (7x1) + (7x6)

From the equation, you can see that 7 is distributed over 1 and 6 to give 7(1) + 7(6).

The remaining options demonstrates the commutative property.

find the slope of the graph​

Answers

Answer:

i think its 1/7 or 7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Gina has 7/8 pound of nuts that she wants to divide equally into 4 bags. How can Gina determine the amount of nuts she can put in each bag? For this problem Gina must divide a 1._________ by a 2. ________. The amount of nuts in each bag will be 3._________ 7/8 because 7/8 is 4._________ 4. Gina will be able to put 5._________ pound(s) of nuts in each bag. Word Bank 1. Fraction or Whole Number 2. Fraction or Whole Number 3. Less Than or Greater Than 4. Divided By or Multiplyed By 5. 7/2, 32/7, 7/2, 7/32

Answers

Gina must divide a fraction by a whole number.

The amount of nuts in each bag will be less than 7/8 because 7/8 is divided by 4.

Gina will be able to put 7/32 pounds of nuts in each bag.

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