Question

y = 5x – 4 and 2y = 10x – 8

a) No solution
b) One solution
c) Infinitely many solutions

Answer 1

Which technique do you use to solve systems of equations? Some prefer substitution to Addition/Subtraction. Others don't.

Answer 2

Whatever way is easier for you to explain. Doesnt matter

Answer 3

The site rules do not allow me to crank out the entire solution without your help. But, working together, we can knock this out. So, let's do it.

Answer 4

I look at the two equations and decide which technique will be easier to use.

Looking at y = 5x – 4 and 2y = 10x – 8,

I'll substitute (5x - 4) for y in the second equation 2y = 10x - 8.

So,
2y = 10x - 8 becomes 2* ( 5x – 4 ) = 10 x - 8.

Answer 5

Your turn:
Simplify this:

2* ( 5x – 4 ) = 10 x - 8.

If you see how to continue to solve for x, do that. If not, stop and post the results after you simplify. I'd like to see your work.

Answer 6

@hanziebananzie