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Simplifying 2a2x + 3y = 7 Solving 2a2x + 3y = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3y' to each side of the equation. 2a2x + 3y + -3y = 7 + -3y Combine like terms: 3y + -3y = 0 2a2x + 0 = 7 + -3y 2a2x = 7 + -3y Divide each side by '2x'. a2 = 3.5x-1 + -1.5x-1y Simplifying a2 = 3.5x-1 + -1.5x-1y Reorder the terms: a2 + -3.5x-1 + 1.5x-1y = 3.5x-1 + -3.5x-1 + -1.5x-1y + 1.5x-1y Combine like terms: 3.5x-1 + -3.5x-1 = 0.0 a2 + -3.5x-1 + 1.5x-1y = 0.0 + -1.5x-1y + 1.5x-1y a2 + -3.5x-1 + 1.5x-1y = -1.5x-1y + 1.5x-1y Combine like terms: -1.5x-1y + 1.5x-1y = 0.0 a2 + -3.5x-1 + 1.5x-1y = 0.0 Factor out the Greatest Common Factor (GCF), 'x-1'. x-1(a2x + -3.5 + 1.5y) = 0.0Subproblem 1
Set the factor 'x-1' equal to zero and attempt to solve: Simplifying x-1 = 0 Solving x-1 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x-1' to each side of the equation. x-1 + -1x-1 = 0 + -1x-1 Remove the zero: 0 = -1x-1 Simplifying 0 = -1x-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(a2x + -3.5 + 1.5y)' equal to zero and attempt to solve: Simplifying a2x + -3.5 + 1.5y = 0 Reorder the terms: -3.5 + a2x + 1.5y = 0 Solving -3.5 + a2x + 1.5y = 0 Move all terms containing a to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + a2x + 3.5 + 1.5y = 0 + 3.5 Reorder the terms: -3.5 + 3.5 + a2x + 1.5y = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + a2x + 1.5y = 0 + 3.5 a2x + 1.5y = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 a2x + 1.5y = 3.5 Add '-1.5y' to each side of the equation. a2x + 1.5y + -1.5y = 3.5 + -1.5y Combine like terms: 1.5y + -1.5y = 0.0 a2x + 0.0 = 3.5 + -1.5y a2x = 3.5 + -1.5y Divide each side by 'x'. a2 = 3.5x-1 + -1.5x-1y Simplifying a2 = 3.5x-1 + -1.5x-1y 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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