The solution to the system of equations is (4.29, -5.87)
How to determine the solution to the system of equations
From the question, we have the following parameters that can be used in our computation:
3x + y = 7
-2x + 3/4y = -13
Make y the subject of the formula in the first equation
So, we have
y = 7 - 3x
Substitute y = 7 - 3x into the equation -2x + 3/4y = -13
-2x + 3/4(7 - 3x) = -13
Multiply through by 4
-8x + 3(7 - 3x) = -52
So, we have
-8x + 21 - 9x = -52
Evaluate the like terms
-17x = -73
x = -73/-17
x = 4.29
Recall that
y = 7 - 3x
So, we have
y = 7 - 3 * 4.29
y = -5.87
Hence, the solution to the system is (4.29, -5.87)