Answer:
The ordered pair value of (x, y) is (6,-11)
Solution:
Given Equations are
Let 8x + 15y = -117 be Equation 1 and 4x + 9y=-75 be Equation 2.
Solving Equations 1 and 2 to get the value of x and y.
Multiply Equation 2 with 4.
16x + 36y = -300
On dividing the above expression by 2, we get
8x + 18y = -150 (Change the sign to get the value of y).
-8x - 18y = 150 --- eqn 3
Now solving eqn 1 and eqn 3
8x + 15y = -117
-8x - 18y = 150
By cancelling 8x and -8x in eqn 1 and eqn 3
-3y = 33
y = -11
Substitute the value y in Equation 2.
4x + 9 (-11) = -75
4x – 99 = - 75
4x= -75 +99
4x = 24
x=6
Hence the value of x and y is (6,-11).