Question 179020
Given {{{x=2y+8}}} and {{{7x+y=101}}}
Use the value of x in the first equation and substitute it into the second equation
{{{7x+y=101}}}
{{{7(2y+8)+y=101}}}
{{{14y + 56 + y = 101}}}
{{{15y + 56 = 101}}}
{{{15y = 101 - 56}}}
{{{15y = 45}}}
{{{y = 45/15}}}
{{{y = 3}}}

Now take that value for y and substitute it into the first equation to solve for x
{{{x= 2y + 8}}}
{{{x = 2(3) + 8}}}
{{{x = 6 + 8}}}
{{{x = 14}}}

Check your answer using equation 2
Does {{{7(14) + 3 = 101}}}???
{{{98 + 3 = 101 }}}?
yes it does

so x = 14 and y = 3