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A student is trying to solve the system of two equations given below: Equation P: x + y = 8 Equation Q: 2x + 5y = 24 Which of the following steps can be used to eliminate the x term? A. 2(x + y = 8) B.
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A student is trying to solve the system of two equations given below:

Equation P: x + y = 8
Equation Q: 2x + 5y = 24

Which of the following steps can be used to eliminate the x term?

A. 2(x + y = 8)

B. -2(x + y = 8)

C. -1(2x + 5y = 24)

D. -2(2x + 5y =24)

User Shivam Sinha
by
7.3k points

2 Answers

2 votes

Answer:

A

Explanation:

User Malcolm Dwyer
by
8.5k points
5 votes
A. 2(x + y = 8)
Once you do that with Equation P, you can do the following:

2x + 2y = 16
(2x + 2y) - (2x + 5y) = 16 - 24 ( modified Equation P minus Equation Q )
2x - 2x + 2y - 5y = 16 - 24
-3y = -8
Magic. x has been eliminated.
User Lucasreta
by
8.0k points
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