Solve the following system of equations:

y = 4x - 6

5x - 4y = - 9

(X=Y) = (3,6)

Step-by-step explanation:

5x-4 (4x-6) = -9

x=3

y=4x3-6

y=6

1.

Step 1: Flip the equation.

4x-6=y

Step 2: Add 6 to both sides.

4x-6+6=y+6

4x=y+6

Step 3: Divide both sides by 4.

4x

4

=

y+6

4

x=

1

4

y+

3

2

2.

Step 1: Add 4y to both sides.

5x-4y+4y=-9+4y

5x=4y-9

Step 2: Divide both sides by 5.

5x

5

=

4y-9

5

x=

4

5

y+

-9

5