Answer:
The solution to the system is:
x = -63
y = 10
Explanation:
Given the pair of equations:
x + 3y = -33 ......................................................(1)
-4x + 5y = -38 ...................................................(2)
Multiply (1) by 4
4x + 12y = -132 ..................................................(3)
Add (2) and (3)
-4x + 4x + 5y + 12y = -38 - 132
17y = 170
Divide both sides by 17
y = 170/17 = 10
Substitute y by 10 in (1)
x + 3(10) = -33
x + 30 = -33
Subtract 30 from both sides
x = -33 - 30
x = -63
Therefore,
x= -63, y = 10
