What is the solution of the system of equations? y= -3x+8
y= -5x-2

Remember you can do anything to an equation as long as you do it to both sides

notice that they both equatl y
therefor they are equal
-3x+8=y=-5x-2
-3x+8=-5x-2
add 5x to both sides
2x+8=-2
minus 8 from both sides
2x=-10
divide by 2
x=-5

plug in -5 for x in any equation to evaluate y

y=-3x+8
y=-3(-5)+8
y=15+8
y=23

the solution is
x=-5
y=23

(-5,23)