Which ordered pair is the solution to the system of equations? 3x - 2y = - 9, 4x + 3y = 22

(1, 6)

Step-by-step explanation:

Given the 2 equations

3x - 2y = - 9 → (1)

4x + 3y = 22 → (2)

Multiplying (1) by 3 and (2) by 2 and adding the result will eliminate the x - term

9x - 6y = - 27 → (3)

8x + 6y = 44 → (4)

Add (3) and (4) term by term

17x = 17 (divide both sides by 17)

x = 1

Substitute x = 1 into either (1) or (2) and solve for y

Substituting in (2)

4 (1) + 3y = 22

4 + 3y = 22 (subtract 4 from both sides)

3y = 18 (divide both sides by 3)

y = 6

Solution is (1, 6)