Question

Solve this system of equations by

Answer 1

Answer:

(12 , -8)

Step-by-step explanation:

Solving system of equation:

   Elimination method

                x + y = 4 ---------------(I)

              4x + 3y = 24 ---------------------(II)

Multiply equation (I) by (-4) and then add the equations. By doing this, 'x' will be eliminated and we can find the value of 'y'.

(I) *(-4)           -4x - 4y = -16

(II)                   4x + 3y = 24   {Now add}

                             -y   = 8

                              y   = 8/(-1)

         $\boxed{y = -8}$

Plugin y =-8 in any of the equations. Here , we are going to plugin  equation (I)

        x + (-8) = 4

            x - 8 = 4

                  x = 4 + 8

           $\boxed{x = 12}$

Answer 2

Answer: x = 12 and y = -8

Explanation:
x + y = 4
4x + 3y = 24
———————
-3(x + y = 4)
4x + 3y = 24
———————-
-3x - 3y = -12
4x + 3y = 24
———————
x = 12

If x = 12
x + y = 4
12 + y = 4
y = -8