Question 25073
Solve: You can use "substitution" to solve this.
1) {{{2x-y = 4}}} Rewrite as: {{{y = 2x-4}}} and substitute into equation 2)
2) {{{2y+x = 7}}}

3) {{{2(2x-4)+x = 7}}} Simplify and solve for x.
{{{4x-8+x = 7}}}
{{{5x-8 = 7}}} Add 8 to both sides of the equation.
{{{5x = 15}}} Divide both sides by 5.
{{{x = 3}}} Now substitute this into the rewrite of equation 1) to find y.
{{{y = 2(3)-4}}}
{{{y = 6-4}}}
{{{y = 2}}}

Solution is: (3, 2)

Check:
Equation 1)
{{{2(3)-2 = 4}}}
{{{6-2 = 4}}}
{{{4 = 4}}}

Equation 2)
{{{2(2)+3 = 7}}}
{{{4+3 = 7}}}
{{{7 = 7}}}