If the following system of equations was written as a matrix equation in the form ax = c,? and matrix a was expressed in the form, a=[a c] [b d] find the value of a - b + c + d. 5x+7y=7 3x-2y=9

Answer is  a - b + c + d = 7

Step-by-step explanation:

The given equations are 5x + 7y = 7 and 3x - 2y = 9

Since system of equations are written in the form of AX = C

Now we will form the matrix form these equation.

A =

X =

C =

Since A =

So a = 5, b = 3, c = 7 and d = -2

Now we can find the solution of ( a - b + c + d )

a - b + c + d = 5 - 3 + 7 - 2 = 2 + 5 = 7

So the answer is a - b + c + d = 7