Question 193902
{{{7x - 4y = 17}}}
{{{2x - 2y = 8}}}
Multiply both sides of the 2nd equation by {{{-2}}}
{{{7x - 4y = 17}}}
{{{-4x + 4y = -16}}}
Add the equations
{{{3x = 1}}}
{{{x = 1/3}}}
Substitute this result in 2nd equation
{{{2*(1/3) - 2y = 8}}}
Multiply both sides by {{{3}}}
{{{2 - 6y = 24}}}
{{{-6y = 24 - 2}}}
{{{6y = -22}}}
{{{y = -11/3}}}
Check answer:
{{{7*(1/3) - 4*(-11/3) = 17}}}
{{{7/3 + 44/3 = 17}}}
Multiply both sides by {{{3}}}
{{{7 + 44 = 51}}}
{{{51 = 51}}}
You can check the 2nd equation the same way