Solve each system graphically.

Question

4y = x + 8
3x - 2y = 6

Basically, what I have to do is find at least one point that works. I tried graphing it on graph paper, and it looked like about (1, 3.5). But when I tried placing in the equations, it did even work in the first one.

I do not have a graphing calculator, so don't suggest that. Do you have any methods to finding it, or can you help me find the answer?

Thanks so much! :-)

Answer 1

try around x = 4 and y = 4.5

Answer 2

4 y = x + 8
2 y = 3 x - 6
so
4 y = x + 8
4 y = 6 x - 12
so
x+8 = 6 x - 12
5 x = 20
x = 4
take it from there.

Answer 3

Silly me... we had just learned the elimination method and I had forgotten about it.

Thank you! :-)