Question

Solve this system of equations: 3x-2y=2 5x-5y=10

Answer 1

Answer:

(- 2, - 4 )

Step-by-step explanation:

Given the 2 equations

3x - 2y = 2 → (1)

5x - 5y = 10 → (2)

Multiply (1) by 5 and (2) by - 3, then add to eliminate x

15x - 10y = 10 → (3)

- 15x + 15y = - 30 → (4)

Add (3) and (4) term by term to eliminate x , that is

5y = - 20 ( divide both sides by 5 )

y = - 4

Substitute y = - 4 into either of the 2 equations and solve for x

Substituting into (1)

3x - 2(- 4) = 2

3x + 8 = 2 ( subtract 8 from both sides )

3x = - 6 ( divide both sides by 3 )

x = - 2

Solution is (- 2, - 4 )