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Simplifying 3a(y + -1x) + -5b(y + -1x) = 0 Reorder the terms: 3a(-1x + y) + -5b(y + -1x) = 0 (-1x * 3a + y * 3a) + -5b(y + -1x) = 0 (-3ax + 3ay) + -5b(y + -1x) = 0 Reorder the terms: -3ax + 3ay + -5b(-1x + y) = 0 -3ax + 3ay + (-1x * -5b + y * -5b) = 0 -3ax + 3ay + (5bx + -5by) = 0 Solving -3ax + 3ay + 5bx + -5by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5bx' to each side of the equation. -3ax + 3ay + 5bx + -5bx + -5by = 0 + -5bx Combine like terms: 5bx + -5bx = 0 -3ax + 3ay + 0 + -5by = 0 + -5bx -3ax + 3ay + -5by = 0 + -5bx Remove the zero: -3ax + 3ay + -5by = -5bx Add '5by' to each side of the equation. -3ax + 3ay + -5by + 5by = -5bx + 5by Combine like terms: -5by + 5by = 0 -3ax + 3ay + 0 = -5bx + 5by -3ax + 3ay = -5bx + 5by Reorder the terms: -3ax + 3ay + 5bx + -5by = -5bx + 5bx + 5by + -5by Combine like terms: -5bx + 5bx = 0 -3ax + 3ay + 5bx + -5by = 0 + 5by + -5by -3ax + 3ay + 5bx + -5by = 5by + -5by Combine like terms: 5by + -5by = 0 -3ax + 3ay + 5bx + -5by = 0 The solution to this equation could not be determined.
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