Question

A student is trying to solve the system of two equations given below:

Equation P: y + z = 6
Equation Q: 8y + 7z = 1

Which of the following is a possible step used in eliminating the y-term?

a (y + z = 6) ⋅ −8
b(y + z = 6) ⋅ 7
c (8y + 7z = 1) ⋅ 7
d (8y + 7z = 1) ⋅ 8

Answer 1

answer a (y + z = 6) * (-8).‍

Explanation:

Answer 2

If you would like to know what is a possible step used in eliminating the y-term, you can calculate this using the following steps:

y + z = 6 /*(-8)
8y + 7z = 1
____________

-8 * (y + z) = -8 * 6
8y + 7z = 1
____________

-8y - 8z = -48
8y + 7z = 1
____________
7z - 8z = 1 - 48

The correct result would be a) (y + z = 6) * (-8).