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Simplifying zx + y = 1 + x Solving xz + y = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. xz + -1x + y = 1 + x + -1x Reorder the terms: -1x + xz + y = 1 + x + -1x Combine like terms: x + -1x = 0 -1x + xz + y = 1 + 0 -1x + xz + y = 1 Add '-1y' to each side of the equation. -1x + xz + y + -1y = 1 + -1y Combine like terms: y + -1y = 0 -1x + xz + 0 = 1 + -1y -1x + xz = 1 + -1y Reorder the terms: -1 + -1x + xz + y = 1 + -1y + -1 + y Reorder the terms: -1 + -1x + xz + y = 1 + -1 + -1y + y Combine like terms: 1 + -1 = 0 -1 + -1x + xz + y = 0 + -1y + y -1 + -1x + xz + y = -1y + y Combine like terms: -1y + y = 0 -1 + -1x + xz + y = 0 The solution to this equation could not be determined.
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