The solution to the system of equations is:
(x, y) = (-7, -8)
Explanation:Given the pair of equations:
-9x + 3y = 39 .....................................................(1)
-7x + 2y = 33 .....................................................(2)
Multiply (1) by 2
-18x + 6y = 78 ....................................................(3)
Multiply (2) by 3
-21x + 6y = 99 ..................................................(4)
Subtract (4) from (3)
-18x - (-21x) = 78 - 99
-18x + 21x = -21
3x = -21
x = -21/3 = -7 ......................................................(5)
Using (5) in (1)
-9(-7) + 3y = 39
63 + 3y = 39
3y = 39 - 63 = -24
y = -24/3 = -8
-
