Answer:
(x, y) = (2, 1)
Step-by-step explanation:
given the 2 equations
2y - 3x = - 4 → (1)
6y + x = 8 → (2)
multiplying (2) by 3 allows the x terms to be eliminated
18y + 3x = 24 → (3)
add (1) and (3) term by term
(2y + 18y) + (- 3x + 3x) = (-4 + 24)
20y + 0 = 20 ( divide both sides by 20 )
y = 1
substitute y = 1 into either of the equations and solve for x
using (2), then
6 + x = 8 ( subtract 6 from both sides )
x = 2
solution (2, 1)
