Question

Solve the following system of equations:
y = 4x - 6
5x - 4y = -9

Answer 1

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

Answer 2

(X=Y)=(3,6)

Explanation:

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

x=3

y=4x3-6

y=6