4u+7v=-3u+2v

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Solution for 4u+7v=-3u+2v equation:


Simplifying
4u + 7v = -3u + 2v

Solving
4u + 7v = -3u + 2v

Solving for variable 'u'.

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

Add '3u' to each side of the equation.
4u + 3u + 7v = -3u + 3u + 2v

Combine like terms: 4u + 3u = 7u
7u + 7v = -3u + 3u + 2v

Combine like terms: -3u + 3u = 0
7u + 7v = 0 + 2v
7u + 7v = 2v

Add '-7v' to each side of the equation.
7u + 7v + -7v = 2v + -7v

Combine like terms: 7v + -7v = 0
7u + 0 = 2v + -7v
7u = 2v + -7v

Combine like terms: 2v + -7v = -5v
7u = -5v

Divide each side by '7'.
u = -0.7142857143v

Simplifying
u = -0.7142857143v

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