Solve for m. Give an exact answer. {:[4(1+0.5 m)=7m],[m=◻]:}

Simplify equation using distributive property: Simplify the equation 4(1 + 0.5m) by using the distributive property. 4(1 + 0.5m) = 4(1) + 4(0.5m) = 4 + 2mRewrite system of equations: Rewrite the system of equations with the simplified expression. {:[4 + 2m = 7m],[m=◻]:}Isolate variable m: Isolate the variable m on one side of the equation. 4 + 2m = 7m 7m - 2m = 4 + 2m - 2m 5m = 4Solve for m: Solve for m by dividing both sides of the equation by 5. 5m = 4 m = 4 / 5

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Solve for
m.
Give an exact answer.

{:[4(1+0.5 m)=7m],[m=◻]:}

Solve for $m$ . $\newline$ Give an exact answer. $\newline$ $4(1+0.5 m)=7 m$ $\newline$ $m=$

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Math Problems

Algebra 1

Solve multi-step linear equations

Full solution

Q. Solve for

m

\newline

Give an exact answer.

\newline

4(1+0.5 m)=7 m

\newline

m=

Simplify equation using distributive property: Simplify the equation $4(1 + 0.5m)$ by using the distributive property. $\newline$ $4(1 + 0.5m)$ $\newline$ = $4(1) + 4(0.5m)$ $\newline$ = $4 + 2m$
Rewrite system of equations: Rewrite the system of equations with the simplified expression. $\newline$ $\begin{cases}4 + 2m = 7m \ m=\square \end{cases}$
Isolate variable m: Isolate the variable m on one side of the equation. $\newline$ $4 + 2m = 7m$ $\newline$ $7m - 2m = 4 + 2m - 2m$ $\newline$ $5m = 4$
Solve for m: Solve for m by dividing both sides of the equation by $5$ . $5m = 4$ $m = \frac{4}{5}$