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Simplifying 0 = -1(4x + -5y) + -1[(3x + -4y) + -1(3x + 4y)] 0 = (4x * -1 + -5y * -1) + -1[(3x + -4y) + -1(3x + 4y)] 0 = (-4x + 5y) + -1[(3x + -4y) + -1(3x + 4y)] Remove parenthesis around (3x + -4y) 0 = -4x + 5y + -1[3x + -4y + -1(3x + 4y)] 0 = -4x + 5y + -1[3x + -4y + (3x * -1 + 4y * -1)] 0 = -4x + 5y + -1[3x + -4y + (-3x + -4y)] Reorder the terms: 0 = -4x + 5y + -1[3x + -3x + -4y + -4y] Combine like terms: 3x + -3x = 0 0 = -4x + 5y + -1[0 + -4y + -4y] 0 = -4x + 5y + -1[-4y + -4y] Combine like terms: -4y + -4y = -8y 0 = -4x + 5y + -1[-8y] Remove brackets around [-8y] 0 = -4x + 5y + -1 * -8y Multiply -1 * -8 0 = -4x + 5y + 8y Combine like terms: 5y + 8y = 13y 0 = -4x + 13y Solving 0 = -4x + 13y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 0 + 4x = -4x + 4x + 13y Remove the zero: 4x = -4x + 4x + 13y Combine like terms: -4x + 4x = 0 4x = 0 + 13y 4x = 13y Divide each side by '4'. x = 3.25y Simplifying x = 3.25y
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