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Simplifying 5(7x + 3y) + -4(64x + -49y) = 0 (7x * 5 + 3y * 5) + -4(64x + -49y) = 0 (35x + 15y) + -4(64x + -49y) = 0 35x + 15y + (64x * -4 + -49y * -4) = 0 35x + 15y + (-256x + 196y) = 0 Reorder the terms: 35x + -256x + 15y + 196y = 0 Combine like terms: 35x + -256x = -221x -221x + 15y + 196y = 0 Combine like terms: 15y + 196y = 211y -221x + 211y = 0 Solving -221x + 211y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-211y' to each side of the equation. -221x + 211y + -211y = 0 + -211y Combine like terms: 211y + -211y = 0 -221x + 0 = 0 + -211y -221x = 0 + -211y Remove the zero: -221x = -211y Divide each side by '-221'. x = 0.9547511312y Simplifying x = 0.9547511312y
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