The solution (x, y) : (-3, 7)
Explanation:
GIven equations:
2x + 3y = 15 ....(1)
-2x - y = -1 ....(2)
Using elimination method:
To eliminate x, the coefficient of x need to be the same in both equations.
Both have 2 as coefficient. So we can eliminate
Add both equations to eliminate x:
2x + (-2x) + 3y + (-y) = 15 + (-1)
2x - 2x + 3y - y = 15 - 1
2y = 14
divide both sides by 2:
y = 14/2
y = 7
substitute for y in equation (1):
2x + 3(7) = 15
2x + 21 = 15
2x = 15 - 21
2x = -6
divide both sides by 2:
x = -6/2
x = -3
The solution (x, y) : (-3, 7)
