Question

[6.02] For the following system, if you isolated x in the second equation to use the Substitution Method, what expression would you substitute into the first equation?

2x + y = 9
−x − y = −8

Answer 1

You can do the following with equation 2:

Add x on both sides, to get -y = -8 + x

If you then add 8 on both sides, you have isolated x and you'll know what to substitute in the first eqn.

Answer 2

-8+Y?

Answer 3

No, because if you have -y = -8 + x, which is of course the same as:

-8 +x = -y,

if you ADD 8 on both sides, on the left side, you have -8 + 8 + x = x
And on the right side, you have -y + 8.

So in the end it is x = -y + 8.