Question 563016
(1) {{{ 2x - y = 2 }}}
(2) {{{ -5x + 4y = -2 }}}
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Multiply both sides of (1) by {{{ 4 }}}
and add the equations
(1) {{{ 8x - 4y = 8 }}}
(2) {{{ -5x + 4y = -2 }}}
{{{ 3x = 6 }}}
{{{ x = 2 }}}
Plug this back into (1) or (2)
(1) {{{ 2*2 - y = 2 }}}
(1) {{{ 4 - y = 2 }}}
(1) {{{ -y = 2 - 4 }}}
(1) {{{ -y = -2 }}}
(1) {{{ y = 2 }}}
The solution is (2,2)
Here's the plot of the 2 lines:
{{{ graph( 400, 400, -5, 5, -5, 5, 2x - 2, (5/4)*x - 2/5) }}}