Question

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the first equation is substituted into the second equation.

x + y = 2
3x + 2y = 9

answerrs:


3x + 2(y + 2) = 9
3(–y + 2) + 2y = 9
3x + 2(–y + 2) = 9
3(y + 2) + 2y = 9

Answer 1

Which part do you not understand? What gives you difficulties?

Or do you just want an answer without explanation?

Answer 2

answer and brief explanation please if its not to much trouble

Answer 3

The correct answer is the second option.

If you solve x+y=2 for x, you get:

x = 2-y

This is what you want to insert into the second equation - every time you see an x, you just put (2-y) in its place.

Therefore you get: 3(2-y) + 2y = 9

Bonus: y = -3, x = 5

Answer 4

could it also be 3(-y+2) + 2y = 9?

Answer 5

Yeah, that's the same thing. That's basically what I wrote.

Answer 6

thanks!

Answer 7

Happy to help.