Question

Solve the system of equation

Answer 1

I would solve it by the elimination method

Answer 2

Use substitution:
y=3x-6
y=5-7

3x-6=5x-7
3x=5x-1
-2x=-1
2x=1
x=$\frac{1}{2}$

y=$\frac{3}{2}$-6
y=-4.5

checking my work:
-4.5=2.5-7
-4.5=-4.5

Solution: (0.5,-4.5) or ($\frac{1}{2}$,-$\frac{9}{2}$)