Question

Explain how to solve each equation for the indicated variable. 3m+7=y, for m

Answer 1

`m=(y-7)/(3)=(y)/(3)-(7)/(3)`

Step-by-step explanation

Solving the equation means isolating the indicated variable, thus, from the given equation

`3m+7=y`

we can subtract 7 from both sides of the equation...

`3m+7-7=y-7`
`3m=y-7`

And divide it into three:

`(3m)/(3)=(y-7)/(3)`
`m=(y-7)/(3)`
`m=(y)/(3)-(7)/(3)`

Summary

0. "Solving for a variable", means ",isolating for a variable".

,

1. To isolate/solve for m in the given equation, we have to ,take the 7 to the other side of the equation, (which is the same as ,subtracting 7 from both sides, of the equation and simplifying).

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2. Next, we have to isolate the equation further to ,leave it in terms of m, (which would be the same as, dividing both sides of the equation over 3, and simplifying).