Solve the following system of equations: x - 2y = 6 2x - 4y = 10

Question 1)

Solving for x

x-2y=6

Add 2y to both sides.

x-2y+2y=6+2y

x = 2y+6

Solving for y.

x-2y=6

Add - x to both sides.

x-2y+-x=6+-x

-2y=-x+6

Divide both sides by - 2

-2y / - 2=-x+6 / - 2

y = 1/2x - 3

Question 2)

Solving for x

2x-4y=10

Add 4y to both sides.

2x-4y+4y=10+4y

2x=4y+10

Divide both sides by 2.

2x/2=4y+10/2

x=2y+5

Solving for y.

2x-4y=10

Add - 2x to both sides

2x-4y+-2x=10+-2x

-4y=-2x+10

Divide both sides by - 4.

-4y / - 4=-2x+10 / - 4

y = 1 / 2 x + - 5 / 2