Question 155710
Solve:
{{{x-4y = -18}}}
{{{(3/4)+(1/4)y = x}}} Substitute this for x in the first equation.
{{{((3/4)+(1/4)y)-4y = -18}}} Multiply through by 4 to clear the fractions.
{{{3+y-16y = -72}}} Combine like-terms (the y's).
{{{3-15y = -72}}} Subtract 3 from both sides.
{{{-15y = -75}}} Divide both sides by -15.
{{{y = 5}}} Now substitute this for y in either of the two original equations.
{{{x-4y = -18}}} Substitute y = 5.
{{{x-4(5) = -18}}} Simplify.
{{{x-20 = -18}}} Add 20 to both sides.
{{{x = 2}}}
The solution is: (2, 5)