Answer:
a) x = -0.75y
b) x = -0.5y
Explanation:
Simplifying
5x + 3x + 2y + 4y = 0
Combine like terms: 5x + 3x = 8x
8x + 2y + 4y = 0
Combine like terms: 2y + 4y = 6y
8x + 6y = 0
Solving
8x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
8x + 6y + -6y = 0 + -6y
Combine like terms: 6y + -6y = 0
8x + 0 = 0 + -6y
8x = 0 + -6y
Remove the zero:
8x = -6y
Divide each side by '8'.
x = -0.75y
Simplifying
x = -0.75y
Simplifying
6x + -2x + 8y + -6y = 0
Combine like terms: 6x + -2x = 4x
4x + 8y + -6y = 0
Combine like terms: 8y + -6y = 2y
4x + 2y = 0
Solving
4x + 2y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
4x + 2y + -2y = 0 + -2y
Combine like terms: 2y + -2y = 0
4x + 0 = 0 + -2y
4x = 0 + -2y
Remove the zero:
4x = -2y
Divide each side by '4'.
x = -0.5y
Simplifying
x = -0.5y