Question 1108109
(1) {{{ y = -6x - 5 }}}
(2) {{{ y = -2x - 1 }}}
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Plug (1) into (2)
{{{ -6x - 5 = -2x - 1 }}}
Multiply both sides by {{{ -1 }}}
{{{ 6x + 5 = 2x + 1 }}}
Subtract {{{ 2x }}} from both sides
{{{ 4x + 5 = 1 }}}
Subtract {{{ 5 }}} from both sides
{{{ 4x = -4 }}}
{{{ x = -1 }}}
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and
(2) {{{ y = -2x - 1 }}}
(2) {{{ y = -2*(-1) - 1 }}}
(2) {{{ y = 2 - 1 }}}
(2) {{{ y = 1 }}}
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The intersection is at ( -1, 1 )
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check:
(1) {{{ y = -6x - 5 }}}
(1) {{{ 1 = -6*(-1) - 5 }}}
(1) {{{ 1 = 6 - 5 }}}
(1) {{{ 1 = 1 }}}
and
(2) {{{ y = -2x - 1 }}}
(2) {{{ 1 = -2*(-1) - 1 }}}
(2) {{{ 1 = 2 - 1 }}}
(2) {{{ 1 = 1 }}}
OK