Question

Solve the system of equations and choose the correct ordered pair. 3x-5y+2=21 and 2y=7x+4​

Answer 1

(-2 ; -5)

Explanation:

• 2*y = 7*x + 4

7*x - 2*y = -4

(7/2)*x - (2/2)*y = -4/2

(7/2)*x - y = -2

(7/2)*x + 2 = y

• 3*x - 5*y + 2 = 21

3*x - 5*y = 21 - 2

3*x - 5*y = 19

3*x - 5*[(7/2)*x + 2] = 19

3*x - 35/2*x - 10 = 19

- 29/2*x = 29

- 1/2*x = 1

x = -2

⇒ y = -5

Answer : (-2 ; -5)