Question

Solve the system of equations using the substitution method Show all work,

y = 5x - 7
3x + 2y = 12

Answer 1

Answer: Since −3x does not contain the variable to solve for, move it to the right-hand side of the equation by adding 3x to both sides.

y=5x−7

−2y=3x−12

Divide each term in the equation by −2.

y=5x−7

y=−3x/2+6

Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.

(2,3)