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Solve M= 7ry - 2rx for X. x=

User Sten
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1 Answer

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Answer:

x = (7ry -M)/(2r)

Explanation:

This is a two-step linear equation in x, so is solved the way all 2-step equations are solved.

Application

The x-term is found on the right side with another term. Step 1 is to add the opposite of the term not containing x:

M -7ry = 7ry -2rx -7ry . . . . . . add -7ry to both sides

M -7ry = -2rx . . . . . . . . . . simplify

The variable x has a coefficient that is not 1. To give it a coefficient of 1, we do Step 2: multiply by the inverse of the coefficient.

(M -7ry)(-1/(2r)) = (-2rx)(-1/(2r)) . . . . . multiply by the inverse of -2r

-(M -7ry)/(2r) = x . . . . . simplify a bit

x = (7ry -M)/(2r) . . . . . . eliminate the leading minus sign

User Damion
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