QuestionSolve for $m$ in the equation $\frac{m}{3}+\frac{k}{5}=2$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $\frac{m}{3}+\frac{k}{5}=$ . We are solving for $m$

STEP 2

First, we want to isolate $m$ on one side of the equation. To do this, we will subtract $\frac{k}{5}$ from both sides of the equation.
$\frac{m}{}+\frac{k}{5}-\frac{k}{5}=2-\frac{k}{5}$

STEP 3

implify the equation to isolate $m$ on one side.
$\frac{m}{3}=2-\frac{k}{5}$

STEP 4

Next, we want to get rid of the fraction on the left side of the equation. To do this, we will multiply both sides of the equation by $3$ .
$3 \times \frac{m}{3}=3 \times \left(2-\frac{k}{}\right)$

STEP 5

implify the equation.
$m=3 \times2 - \frac{3k}{5}$

STEP 6

Finally, distribute the $3$ on the right side of the equation.
$m=6 - \frac{3k}{5}$ So, the solution for $m$ in terms of $k$ is $m=6 - \frac{3k}{5}$ .

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QuestionSolve for $m$ in the equation $\frac{m}{3}+\frac{k}{5}=2$ .

Studdy Solution

STEP 1

Assumptions1. The equation given is $\frac{m}{3}+\frac{k}{5}=$ . We are solving for $m$

STEP 2

First, we want to isolate $m$ on one side of the equation. To do this, we will subtract $\frac{k}{5}$ from both sides of the equation.
$\frac{m}{}+\frac{k}{5}-\frac{k}{5}=2-\frac{k}{5}$

STEP 3

implify the equation to isolate $m$ on one side.
$\frac{m}{3}=2-\frac{k}{5}$

STEP 4

Next, we want to get rid of the fraction on the left side of the equation. To do this, we will multiply both sides of the equation by $3$ .
$3 \times \frac{m}{3}=3 \times \left(2-\frac{k}{}\right)$

STEP 5

implify the equation.
$m=3 \times2 - \frac{3k}{5}$

STEP 6

Finally, distribute the $3$ on the right side of the equation.
$m=6 - \frac{3k}{5}$ So, the solution for $m$ in terms of $k$ is $m=6 - \frac{3k}{5}$ .

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QuestionSolve for mmm in the equation m3+k5=2\frac{m}{3}+\frac{k}{5}=23m​+5k​=2.

Studdy Solution

STEP 1

Assumptions1. The equation given is m3+k5=\frac{m}{3}+\frac{k}{5}=3m​+5k​= . We are solving for mmm

STEP 2

First, we want to isolate mmm on one side of the equation. To do this, we will subtract k5\frac{k}{5}5k​ from both sides of the equation.m+k5−k5=2−k5\frac{m}{}+\frac{k}{5}-\frac{k}{5}=2-\frac{k}{5}m​+5k​−5k​=2−5k​

STEP 3

implify the equation to isolate mmm on one side.m3=2−k5\frac{m}{3}=2-\frac{k}{5}3m​=2−5k​

STEP 4

Next, we want to get rid of the fraction on the left side of the equation. To do this, we will multiply both sides of the equation by 333.3×m3=3×(2−k)3 \times \frac{m}{3}=3 \times \left(2-\frac{k}{}\right)3×3m​=3×(2−k​)

STEP 5

implify the equation.m=3×2−3k5m=3 \times2 - \frac{3k}{5}m=3×2−53k​

STEP 6

Finally, distribute the 333 on the right side of the equation.m=6−3k5m=6 - \frac{3k}{5}m=6−53k​So, the solution for mmm in terms of kkk is m=6−3k5m=6 - \frac{3k}{5}m=6−53k​.

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QuestionSolve for $m$ in the equation $\frac{m}{3}+\frac{k}{5}=2$ .

Assumptions1. The equation given is $\frac{m}{3}+\frac{k}{5}=$ . We are solving for $m$

First, we want to isolate $m$ on one side of the equation. To do this, we will subtract $\frac{k}{5}$ from both sides of the equation.
$\frac{m}{}+\frac{k}{5}-\frac{k}{5}=2-\frac{k}{5}$

implify the equation to isolate $m$ on one side.
$\frac{m}{3}=2-\frac{k}{5}$

Next, we want to get rid of the fraction on the left side of the equation. To do this, we will multiply both sides of the equation by $3$ .
$3 \times \frac{m}{3}=3 \times \left(2-\frac{k}{}\right)$

implify the equation.
$m=3 \times2 - \frac{3k}{5}$

Finally, distribute the $3$ on the right side of the equation.
$m=6 - \frac{3k}{5}$ So, the solution for $m$ in terms of $k$ is $m=6 - \frac{3k}{5}$ .