Solve the following systems of equations: 4x+5y=-4 4x+3y=12 x=? y=?

For this case we have the following system of equations:

We multiply the second equation by -1:

We add the equations:

We find the value of "x":

Thus, the solution of the system is given by:

(9, -8)

x = 9 and y = -8

Step-by-step explanation:

It is given that,

4x + 5y = -4     (1)

4x + 3y = 12    (2)

To find the value of x and y

eq (1) - eq (2) ⇒

4x + 5y = -4     (1)

4x + 3y = 12    (2)

  0 + 2y = -16

y = -16/2 = -8

Substitute the value of y in eq (1)

4x + 5y = -4     (1)

4x + 5*-8 = -4

4x - 40 = -4

4x = -4 + 40 = 36

x = 36/4 = 9

x = 9 and y = -8

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step-by-step explanation: