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

Equation P: y + z = 4

Equation Q: 3y + 7z = 15

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

A) - 3 (y + z = 4)

B) 3 (y + z = 4)

C) - 1 (3y + 7z = 15)

D) - 3 (3y + 7z = 15)

A) - 3 (y + z = 4)

Step-by-step explanation:

Equation P: y + z = 4

Equation Q: 3y + 7z = 15

To eliminate the y term, The equations have to have the coefficients on y equal and opposite.

Equation Q has 3y, so Equation P needs - 3y

Multiply equation P by - 3

-3 (y + z = 4)