2*a*in(x)+in(y)=in(5)

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Solution for 2*a*in(x)+in(y)=in(5) equation:


Simplifying
2a * in(x) + in(y) = in(5)

Multiply a * in
2ain * x + in(y) = in(5)

Multiply ain * x
2ainx + in(y) = in(5)

Multiply in * y
2ainx + iny = in(5)

Reorder the terms for easier multiplication:
2ainx + iny = 5in

Solving
2ainx + iny = 5in

Solving for variable 'a'.

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

Add '-1iny' to each side of the equation.
2ainx + iny + -1iny = 5in + -1iny

Combine like terms: iny + -1iny = 0
2ainx + 0 = 5in + -1iny
2ainx = 5in + -1iny

Divide each side by '2inx'.
a = 2.5x-1 + -0.5x-1y

Simplifying
a = 2.5x-1 + -0.5x-1y

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