Answer:
x = 5/2 and y = - 6
Step-by-step explanation:
The equations are
4x - 3y = 28 (1)
6x + y = 9 (2)
We will solve this system of equations by elimination:
Multiply equation (2) x 3:
3(6x + y) = 3 x 9
18x + 3y = 27 (3)
Add equations (1) and (3) to eliminate y term
4x - 3y = 28
+
18x + 3y = 27
---------------------
22x = 55
x = 55/22 = 5/2
Substitute y = 5/2 in equation (2): 6x + y = 9 to get
6(5/2) + y = 9
15 + y = 9
y = 9 - 15
y = -6
Solution
x = 5/2 and y = -6
