7kx=4ky

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Solution for 7kx=4ky equation: 


Simplifying
7kx = 4ky

Solving
7kx = 4ky

Solving for variable 'k'.

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

Add '-4ky' to each side of the equation.
7kx + -4ky = 4ky + -4ky

Combine like terms: 4ky + -4ky = 0
7kx + -4ky = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(7x + -4y) = 0


Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0

Subproblem 2
Set the factor '(7x + -4y)' equal to zero and attempt to solve:

Simplifying
7x + -4y = 0

Solving
7x + -4y = 0

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

Add '-7x' to each side of the equation.
7x + -7x + -4y = 0 + -7x

Combine like terms: 7x + -7x = 0
0 + -4y = 0 + -7x
-4y = 0 + -7x
Remove the zero:
-4y = -7x

Add '4y' to each side of the equation.
-4y + 4y = -7x + 4y

Combine like terms: -4y + 4y = 0
0 = -7x + 4y

Simplifying
0 = -7x + 4y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
k = {0}

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