Answer :
[tex] \left \{ {{y=4x+6} \atop {y=2x+2}} \right.\\\\ Equal\ both\ equation\\\\
4x+6=2x+2\ \ | subtract\ 2x\\\\
2x+6=2\ \ \ | subtract\ 6\\\\
2x=-4\ \ \ | divide\ by\ 2\\\\
x=-2\\\\
y=2x+2=2*(-2)+2=-4+2=-2 [/tex]
so you can subsitute and make each equation equal to the other
4x+6=2x+2
subtract 2x form boht sides
2x+6=2
subtract 6 form both sides
2x=-4
sivide by 2
x=-2
subsitute
y=2(-2)+2
y=-4+2
y=-2
the solution is x=-2 y=-2
4x+6=2x+2
subtract 2x form boht sides
2x+6=2
subtract 6 form both sides
2x=-4
sivide by 2
x=-2
subsitute
y=2(-2)+2
y=-4+2
y=-2
the solution is x=-2 y=-2
