Answer:
Simplifying
5x + 0(x + y) + -3y + 14 + -3(y + -1x) = 0
Anything times zero is zero.
5x + 0(x + y) + -3y + 14 + -3(y + -1x) = 0
Reorder the terms:
5x + 0 + -3y + 14 + -3(-1x + y) = 0
5x + 0 + -3y + 14 + (-1x * -3 + y * -3) = 0
5x + 0 + -3y + 14 + (3x + -3y) = 0
Reorder the terms:
0 + 14 + 5x + 3x + -3y + -3y = 0
Combine like terms: 0 + 14 = 14
14 + 5x + 3x + -3y + -3y = 0
Combine like terms: 5x + 3x = 8x
14 + 8x + -3y + -3y = 0
Combine like terms: -3y + -3y = -6y
14 + 8x + -6y = 0
Solving
14 + 8x + -6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-14' to each side of the equation.
14 + 8x + -14 + -6y = 0 + -14
Reorder the terms:
14 + -14 + 8x + -6y = 0 + -14
Combine like terms: 14 + -14 = 0
0 + 8x + -6y = 0 + -14
8x + -6y = 0 + -14
Combine like terms: 0 + -14 = -14
8x + -6y = -14
Add '6y' to each side of the equation.
8x + -6y + 6y = -14 + 6y
Combine like terms: -6y + 6y = 0
8x + 0 = -14 + 6y
8x = -14 + 6y
Divide each side by '8'.
x = -1.75 + 0.75y
Simplifying
x = -1.75 + 0.75y
Step-by-step explanation:
