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Decide whether the given number is a solution. Is -9 a solution of
-9f=90-f ?

Decide whether the given number is a solution. Is $-9$ a solution of $-9 f=90-f$ ?

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Write and solve inverse variation equations

Full solution

Q. Decide whether the given number is a solution. Is

-9

a solution of

-9 f=90-f

?

Substitute $-9$ for $f$ : Given the equation $-9f = 90 - f$ , we need to check if $-9$ is a solution for the variable $f$ . To do this, we substitute $-9$ for $f$ in the equation and see if the equation holds true. $\newline$ Substitute $-9$ for $f$ : $-9(-9) = 90 - (-9)$ $\newline$ Calculate the left side: $f$ $0$
Calculate left side: Now, calculate the right side of the equation after substitution. $\newline$ $90 + 9 = 99$
Calculate right side: Compare the results of the left side and the right side of the equation. $\newline$ Left side: $81$ $\newline$ Right side: $99$ $\newline$ Since $81 \neq 99$ , $-9$ is not a solution to the equation $-9f = 90 - f$ .

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