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Simplifying 3y3 + 2x4y = 7 Reorder the terms: 2x4y + 3y3 = 7 Solving 2x4y + 3y3 = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3y3' to each side of the equation. 2x4y + 3y3 + -3y3 = 7 + -3y3 Combine like terms: 3y3 + -3y3 = 0 2x4y + 0 = 7 + -3y3 2x4y = 7 + -3y3 Divide each side by '2y'. x4 = 3.5y-1 + -1.5y2 Simplifying x4 = 3.5y-1 + -1.5y2 Reorder the terms: x4 + -3.5y-1 + 1.5y2 = 3.5y-1 + -3.5y-1 + -1.5y2 + 1.5y2 Combine like terms: 3.5y-1 + -3.5y-1 = 0.0 x4 + -3.5y-1 + 1.5y2 = 0.0 + -1.5y2 + 1.5y2 x4 + -3.5y-1 + 1.5y2 = -1.5y2 + 1.5y2 Combine like terms: -1.5y2 + 1.5y2 = 0.0 x4 + -3.5y-1 + 1.5y2 = 0.0 Factor out the Greatest Common Factor (GCF), 'y-1'. y-1(x4y + -3.5 + 1.5y3) = 0.0Subproblem 1
Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-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 '(x4y + -3.5 + 1.5y3)' equal to zero and attempt to solve: Simplifying x4y + -3.5 + 1.5y3 = 0 Reorder the terms: -3.5 + x4y + 1.5y3 = 0 Solving -3.5 + x4y + 1.5y3 = 0 Move all terms containing x to the left, all other terms to the right. Add '3.5' to each side of the equation. -3.5 + x4y + 3.5 + 1.5y3 = 0 + 3.5 Reorder the terms: -3.5 + 3.5 + x4y + 1.5y3 = 0 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + x4y + 1.5y3 = 0 + 3.5 x4y + 1.5y3 = 0 + 3.5 Combine like terms: 0 + 3.5 = 3.5 x4y + 1.5y3 = 3.5 Add '-1.5y3' to each side of the equation. x4y + 1.5y3 + -1.5y3 = 3.5 + -1.5y3 Combine like terms: 1.5y3 + -1.5y3 = 0.0 x4y + 0.0 = 3.5 + -1.5y3 x4y = 3.5 + -1.5y3 Divide each side by 'y'. x4 = 3.5y-1 + -1.5y2 Simplifying x4 = 3.5y-1 + -1.5y2 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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