Question

x=3m/2-m

make m the subject of the formula
help me plss

Answer 1

Answer:

2X/(3+X)

Step-by-step explanation:

X = 3m/2-m

Cross multiply both sides

X × (2-m)= 3m

2X-Xm= 3m

2X= 3m+Xm

2X= m(3+X)

Divide both sides by the coefficient of m which is (3+X)

m= 2X/(3+X)

Answer 2

Changing the subject of a formula involves rearranging the formula

m as the subject of the formula is: $\mathbf{m = \frac{2x}{3 + x}}$

The equation is given as:

$\mathbf{x = \frac{3m}{2-m}}$

Cross multiply

$\mathbf{x(2-m) = 3m}$

Open brackets

$\mathbf{2x-mx = 3m}$

Collect like terms

$\mathbf{2x= 3m +mx}$

Factor out m

$\mathbf{2x= m(3 +x)}$

Divide both sides by 3 + x

$\mathbf{\frac{2x}{3 + x}= m}$

Rewrite the above equation as:

$\mathbf{m = \frac{2x}{3 + x}}$

Hence, m as the subject of the formula is:

$\mathbf{m = \frac{2x}{3 + x}}$

Read more about the subject of formulas at:

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