5x-4y+-13 and 3x-4y+-11

5x + - 4y = 13

Solving

-5x + - 4y = 13

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '4y' to each side of the equation.

-5x + - 4y + 4y = 13 + 4y

Combine like terms: - 4y + 4y = 0

-5x + 0 = 13 + 4y

-5x = 13 + 4y

Divide each side by '-5'.

x = - 2.6 + - 0.8y

Simplifying

x = - 2.6 + - 0.8y

Simplifying

3x + - 4y + - 11 = 0

Reorder the terms:

-11 + 3x + - 4y = 0

Solving

-11 + 3x + - 4y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '11' to each side of the equation.

-11 + 3x + 11 + - 4y = 0 + 11

Reorder the terms:

-11 + 11 + 3x + - 4y = 0 + 11

Combine like terms: - 11 + 11 = 0

0 + 3x + - 4y = 0 + 11

3x + - 4y = 0 + 11Combine like terms: 0 + 11 = 11

3x + - 4y = 11

Add '4y' to each side of the equation.

3x + - 4y + 4y = 11 + 4y

Combine like terms: - 4y + 4y = 0

3x + 0 = 11 + 4y

3x = 11 + 4y

Divide each side by '3'.

x = 3.666666667 + 1.333333333y

Simplifying

x = 3.666666667 + 1.333333333y

1) 5x-4y-13=3x-4y-11

2) 5x-4y=3x-4y-11+13 (Add 13 to both sides)

3) 5x-4y+4y=3x-11+13 (Add 4y to both sides)

4) 5x-3x=-11+13 (Subtract 3x from both sides (the - 4y and + 4y cancel each other))

5) 2x=2 (subtract 5x-3x and add - 11+13)

6) x=1 (Divide both sides by 2)

x=1 y=0 or (1,0)