The solution of the system of equations is x = 4 and y =-6
How to find the solution of the system of equations?
The system of equations is given as:
4x - 5y = 46
-4x - 4y = 8
Add the two equations, to eliminate x
So, we have:
4x -4x - 5y - 4y = 46 + 8
Evaluate the like terms
-9y = 54
Divide both sides by - 9
y = -6
Substitute y = -6 in the equation 4x - 5y = 46
4x - 5(-6) = 46
This gives
4x + 30 = 46
Evaluate the like terms
4x = 16
Divide by 4
x = 4
Hence, the solution of the system of equations is x = 4 and y =-6
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