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Variable equations

# Does x satisfy the equation?

A number is a solution to an equation if plugging it in results in a true statement.

Is v = 5 a solution to the equation $\frac{5}{v}=1$?

yes

no

Solution:

Plug v = 5 into the equation and simplify.

$\frac{5}{v}=1$

$\frac{5}{5}$
 ? =
1 Plug in v = 5

1
 ? =
1 Divide

 Yes, 1 = 1 .

So, v = 5 is a solution to the equation $\frac{5}{v}=1$.

Is m=1 a solution of the equation m-3=7?

A number is a solution to an equation if plugging it in results in a true statement.

Plug m=1 into the equation and simplify.

 m-3=7 $1-3\;\stackrel{?}{=}\;7$ Plug in m=1 $-2\neq\;7$ Add

$-2\neq\;7$, so, m=1 is not a solution to the equation m-3=7.

Is f = 3 a solution to the equation $\frac{45}{f}$ =15 ?

A. yes
B. no