Answer:
(5, -1)
Step-by-step explanation:
Equation 1: 3x + y = 14
Equation 2: 2x - 2y = 12
Rewrite equation 1 to make y the subject:
⇒ y = 14 - 3x
Substitute this into equation 2 and solve for x:
⇒ 2x - 2(14 - 3x) = 12
⇒ 2x - 28 + 6x = 12
⇒ 8x - 28 = 12
⇒ 8x = 40
⇒ x = 5
Substitute found value for x into either equation and solve for y:
using equation 1:
⇒ 3(5) + y = 14
⇒ 15 + y = 14
⇒ y = -1
Therefore, the solution to the system is (5, -1)
