Question

–2x + 2y = 6
4x +2y=-5

Answer 1

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

-2x+2y=6,4x+2y=-5

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

-2x+2y=6

-2x=-2y+6

x=-\frac{1}{2}\left(-2y+6\right)

x=y-3

4\left(y-3\right)+2y=-5

4y-12+2y=-5

6y-12=-5

6y=7

y=\frac{7}{6}

Explanation:

x=\frac{7}{6}-3

x=-\frac{11}{6}

x=-\frac{11}{6},y=\frac{7}{6} the answer