Question 673080
15x - 10y = 11
15y = -2 + 5x
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rearrange the first equation as
15x = 11 + 10y
x = {{{11/15 + 10y/15}}}
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Plug into the second equation
15y = -2 + 5({{{11/15 + 10y/15}}})
15y = -2 + {{{11/3 + 10y/3}}}
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Multiply the entire equation by 3
45y = -6 + 11 + 10y
45y - 10y = -6 + 11
35y = 5
{{{highlight_green(y = 5/35 = 1/7)}}}
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Solve for x
{{{15x - 10(1/7) = 11}}}
15x = {{{11 + 10/7}}}
15x = {{{11(7/7) + 10/7}}}
x = {{{(77/7)/15 + (10/7)/15}}}
x = {{{(77/7)(1/15) + (10/7)(1/15)}}}
x = {{{77/105 + 10/105}}}
{{{highlight_green(x = 87/105)}}}
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