Solve the system of equations: y = 2x + 5 and y = x - 2

Answer 1

y = 2x + 5 and y = x - 2

Use substitution to plug x-2 in the place of y in the other equation.

x - 2 = 2x + 5

subtract x from both sides

- 2 = x + 5

subtract 5 from both sides

- 7 = x

plug -7 in for x in either equation to find y

y = 2(- 7) + 5

y = - 14 + 5

y = - 9

(- 7,- 9) is the solution