7y=3xfory

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Solution for 7y=3xfory equation:


Simplifying
7y = 3xfory

Solving
7y = 3forxy

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-3forxy' to each side of the equation.
-3forxy + 7y = 3forxy + -3forxy

Combine like terms: 3forxy + -3forxy = 0
-3forxy + 7y = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-3forx + 7) = 0

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(-3forx + 7)' equal to zero and attempt to solve: Simplifying -3forx + 7 = 0 Reorder the terms: 7 + -3forx = 0 Solving 7 + -3forx = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3forx = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3forx = 0 + -7 -3forx = 0 + -7 Combine like terms: 0 + -7 = -7 -3forx = -7 Add '3forx' to each side of the equation. -3forx + 3forx = -7 + 3forx Combine like terms: -3forx + 3forx = 0 0 = -7 + 3forx Simplifying 0 = -7 + 3forx The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

y = {0}

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