Question 1158032
(1) {{{ y = 5x + 3 }}}
(2) {{{ y = 15x + 2 }}}
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Subtract (1) from (2)
(2) {{{ y = 15x + 2 }}}
(1) {{{ -y = -5x - 3 }}}
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{{{ 0 = 10x - 1 }}}
Add {{{ 1 }}} to both sides
{{{ 1 = 10x }}}
Divide both sides by {{{ 10 }}}
{{{ x = 1/10 }}}
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check:
(1) {{{ y = 5*(1/10) + 3 }}}
(1) {{{ y = 1/2 + 6/2 }}}
(1) {{{ y = 7/2 }}}
and
(2) {{{ y = 15*(1/10) + 2 }}}
(2) {{{ y = 3/2 + 4/2 }}}
(2) {{{ y = 7/2 }}}
OK
The solution is ( 1/10, 7/10 )