Slove each system by substitution.

Question

4x = y - 1
6x - 2y = -3

I have already attempted this problem and couldn't figure out what I should do.

I came out with 4x + 1 = 3x + 1.5
I think this looks right because our teacher told us that for this specific problem that we should get a decimal. But now I don't know where to go next...... Thanks!

Answer 1

Solve for x. Then solve for y by substitution to either of the two equations.

Answer 2

I know but wouldn't you have to go through confusing fractions and multiply by fractions to get a whole number of x? I am trying to follow the teachers directions which do not include fractions.......

Answer 3

multiply the entire thing by 2 to eliminate the decimal:
(4x + 1 = 3x + 1.5)*2
8x-6x=3-2

now solve for x. Then solve for y by substitution.

Answer 4

x = 0.5
4x = 2
4(0.5) = y - 1
+1 on both sides...
y = 3!

Thanks!