Answer:
(- 1, 3 )
Explanation:
2x + 3y = 7 → (1)
- 2x + 4y = 14 → (2)
add (1) and (2) term by term to eliminate x
(2x - 2x) + (3y + 4y) = (7 + 14)
0 + 7y = 21
7y = 21 ( divide both sides by 7 )
y = 3
substitute y = 3 into either of the 2 equations and solve for x
substituting into (1)
2x + 3(3) = 7
2x + 9 = 7 ( subtract 9 from both sides )
2x = - 2 ( divide both sides by 2 )
x = - 1
As a check
substitute the values of x and y into the left side of both equations and if equal to the right side in both equations then the values of x and y are true.
(1) 2(- 1) + 3(3) = - 2 + 9 = 7 ← true
(2) - 2(- 1) + 4(3) = 2 + 12 = 14 ← true
then (- 1, 3 ) is the solution to the system