Question 430925
(1) {{{ y = 2x - 6 }}}
(2) {{{ y = -2x + 2 }}}
Add the equations
{{{ 2y = -4 }}}
divide both sides by {{{2}}}
{{{ y = -2 }}}
Now plug this result back into either (1) or (2)
(1) {{{ -2 = 2x - 6 }}}
Add {{{6}}} to both sides
{{{ 4 = 2x }}}
Divide both sides by {{{2}}}
{{{ x = 2 }}}
The solution is (2,-2). Here' the plot:
{{{ graph( 400, 400, -10, 10, -10, 10,  2x - 6, -2x + 2) }}}