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Simplifying y7 + -2x7y5 = 10 Reorder the terms: -2x7y5 + y7 = 10 Solving -2x7y5 + y7 = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y7' to each side of the equation. -2x7y5 + y7 + -1y7 = 10 + -1y7 Combine like terms: y7 + -1y7 = 0 -2x7y5 + 0 = 10 + -1y7 -2x7y5 = 10 + -1y7 Divide each side by '-2y5'. x7 = -5y-5 + 0.5y2 Simplifying x7 = -5y-5 + 0.5y2 Reorder the terms: x7 + 5y-5 + -0.5y2 = -5y-5 + 5y-5 + 0.5y2 + -0.5y2 Combine like terms: -5y-5 + 5y-5 = 0 x7 + 5y-5 + -0.5y2 = 0 + 0.5y2 + -0.5y2 x7 + 5y-5 + -0.5y2 = 0.5y2 + -0.5y2 Combine like terms: 0.5y2 + -0.5y2 = 0.0 x7 + 5y-5 + -0.5y2 = 0.0 Factor out the Greatest Common Factor (GCF), 'y-5'. y-5(x7y5 + 5 + -0.5y7) = 0.0Subproblem 1
Set the factor 'y-5' equal to zero and attempt to solve: Simplifying y-5 = 0 Solving y-5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-5' to each side of the equation. y-5 + -1y-5 = 0 + -1y-5 Remove the zero: 0 = -1y-5 Simplifying 0 = -1y-5 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 '(x7y5 + 5 + -0.5y7)' equal to zero and attempt to solve: Simplifying x7y5 + 5 + -0.5y7 = 0 Reorder the terms: 5 + x7y5 + -0.5y7 = 0 Solving 5 + x7y5 + -0.5y7 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + x7y5 + -5 + -0.5y7 = 0 + -5 Reorder the terms: 5 + -5 + x7y5 + -0.5y7 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x7y5 + -0.5y7 = 0 + -5 x7y5 + -0.5y7 = 0 + -5 Combine like terms: 0 + -5 = -5 x7y5 + -0.5y7 = -5 Add '0.5y7' to each side of the equation. x7y5 + -0.5y7 + 0.5y7 = -5 + 0.5y7 Combine like terms: -0.5y7 + 0.5y7 = 0.0 x7y5 + 0.0 = -5 + 0.5y7 x7y5 = -5 + 0.5y7 Divide each side by 'y5'. x7 = -5y-5 + 0.5y2 Simplifying x7 = -5y-5 + 0.5y2 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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