Answer:
(- 4, 8 )
Step-by-step explanation:
given the system of equations
3x + 2y = 4 → (1)
- 2x + 2y = 24 → (2)
multiply (1) by - 1
- 3x - 2y = - 4 → (3)
add (2) and (3) term by term to eliminate y
(- 2x - 3x) + (2y - 2y) = 24 - 4
- 5x + 0 = 20
- 5x = 20 ( divide both sides by - 5 )
x = - 4
substitute x = - 4 into either of the 2 equations and solve for y
substituting into (1)
3(- 4) + 2y = 4
- 12 + 2y = 4 ( add 12 to both sides )
2y = 16 ( divide both sides by 2 )
y = 8
The solution is ( - 4, 8 )
