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Simplifying -2x + -9y + -5z = 15matrix Solving -2x + -9y + -5z = 15aimrtx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15aimrtx' to each side of the equation. -2x + -9y + -15aimrtx + -5z = 15aimrtx + -15aimrtx Reorder the terms: -15aimrtx + -2x + -9y + -5z = 15aimrtx + -15aimrtx Combine like terms: 15aimrtx + -15aimrtx = 0 -15aimrtx + -2x + -9y + -5z = 0 Add '9y' to each side of the equation. -15aimrtx + -2x + -9y + 9y + -5z = 0 + 9y Combine like terms: -9y + 9y = 0 -15aimrtx + -2x + 0 + -5z = 0 + 9y -15aimrtx + -2x + -5z = 0 + 9y Remove the zero: -15aimrtx + -2x + -5z = 9y Add '5z' to each side of the equation. -15aimrtx + -2x + -5z + 5z = 9y + 5z Combine like terms: -5z + 5z = 0 -15aimrtx + -2x + 0 = 9y + 5z -15aimrtx + -2x = 9y + 5z Reorder the terms: -15aimrtx + -2x + -9y + -5z = 9y + -9y + 5z + -5z Combine like terms: 9y + -9y = 0 -15aimrtx + -2x + -9y + -5z = 0 + 5z + -5z -15aimrtx + -2x + -9y + -5z = 5z + -5z Combine like terms: 5z + -5z = 0 -15aimrtx + -2x + -9y + -5z = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(15aimrtx + 2x + 9y + 5z) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(15aimrtx + 2x + 9y + 5z)' equal to zero and attempt to solve: Simplifying 15aimrtx + 2x + 9y + 5z = 0 Solving 15aimrtx + 2x + 9y + 5z = 0 Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 15aimrtx + 2x + 9y + -9y + 5z = 0 + -9y Combine like terms: 9y + -9y = 0 15aimrtx + 2x + 0 + 5z = 0 + -9y 15aimrtx + 2x + 5z = 0 + -9y Remove the zero: 15aimrtx + 2x + 5z = -9y Add '-5z' to each side of the equation. 15aimrtx + 2x + 5z + -5z = -9y + -5z Combine like terms: 5z + -5z = 0 15aimrtx + 2x + 0 = -9y + -5z 15aimrtx + 2x = -9y + -5z The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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