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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 these is a possible step used in eliminating the y-term?

(y + z = 6) ⋅ −8
(y + z = 6) ⋅ 7
(8y + 7z = 1) ⋅ 7
(8y + 7z = 1) ⋅ 8

Respuesta :

caylus
Hello,
the student used the same equation !!!!

y+z=6      |*(-8)
8y+7z=1 |*1

==>-8z+7z=-48+1
==>-z=-47
==>z=47
(1)==>y=-47+6
==>y=-41



Blacklash

Answer:

Option B is the correct answer.

Step-by-step explanation:

For eliminating y term we need to make coefficients of y in both equations same.

Equation P: y + z = 6

Equation Q: 8y + 7z = 1

Coefficients of y in equation P = 1

Coefficients of y in equation Q = 7

So we need to multiply equation P with 7.

That is (y + z = 6) x 7

Option B is the correct answer.

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