Question 883859
(1) {{{ 9x + 8y = 50 }}}
(2) {{{ -3x + 5y = 14 }}}
Multiply both sides of (2) by {{{ 3 }}}
and add the equations
(1) {{{ 9x + 8y = 50 }}}
(2) {{{ -9x + 15y = 42 }}}
{{{ 23y = 92 }}}
{{{ y = 4 }}}
and
(1) {{{ 9x + 8*4 = 50 }}}
(1) {{{ 9x = 50 - 32 }}}
(1) {{{ 9x = 18 }}}
(1) {{{ x = 2 }}}
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I get ( 2 , 4 )
Here's the plot of both lines to check answer:
{{{ graph( 400, 400, -10, 10, -10, 10, -(9/8)*x + 50/8 , (3/5)*x + 14/5 ) }}}