Answer:
x = - 1 , y = 3
Explanation:
given the system of equations
x + y = 2 → (1)
- 3x + 4y = 15 → (2)
multiplying (1) by 3 and adding to (2) will eliminate x
3x + 3y = 6 → (3)
add (2) and (3) term by term to eliminate x
(- 3x + 3x) + (4y + 3y) = 15 + 6
0 + 7y = 21
7y = 21 ( divide both sides by 7 )
y = 3
substitute y = 3 into either of the 2 original equations and solve for x
substituting into (1)
x + 3 = 2 ( subtract 3 from both sides )
x = - 1
the solution is x = - 1, y = 3