Answer:
Solution: x = 2, y = -3.
Explanation:
Given system of equations:
Equation 1: 2x - 3y = 13
Equation 2: x + 2y = -4
Multiply Equation 2 by 2:
2(x + 2y) = 2(-4)
Simplified: 2x + 4y = -8
Add Equation 1 and Equation 3:
4x + y = 5
Solve Equation 4 for y:
y = 5 - 4x
Substitute y into Equation 2:
x + 2(5 - 4x) = -4
Simplify:
-7x + 10 = -4
Solve for x:
x = 2
Substitute x into Equation 5:
y = 5 - 4(2)
y = -3
Solution: x = 2, y = -3.