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Simplifying (3x + 2y + z) + (6x + -5y + -1z) = 9x + -3y Remove parenthesis around (3x + 2y + z) 3x + 2y + z + (6x + -5y + -1z) = 9x + -3y Remove parenthesis around (6x + -5y + -1z) 3x + 2y + z + 6x + -5y + -1z = 9x + -3y Reorder the terms: 3x + 6x + 2y + -5y + z + -1z = 9x + -3y Combine like terms: 3x + 6x = 9x 9x + 2y + -5y + z + -1z = 9x + -3y Combine like terms: 2y + -5y = -3y 9x + -3y + z + -1z = 9x + -3y Combine like terms: z + -1z = 0 9x + -3y + 0 = 9x + -3y 9x + -3y = 9x + -3y Add '-9x' to each side of the equation. 9x + -9x + -3y = 9x + -9x + -3y Combine like terms: 9x + -9x = 0 0 + -3y = 9x + -9x + -3y -3y = 9x + -9x + -3y Combine like terms: 9x + -9x = 0 -3y = 0 + -3y -3y = -3y Add '3y' to each side of the equation. -3y + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 0 = -3y + 3y Combine like terms: -3y + 3y = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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