Question

Nathaniel writes the general form of the equation gm = cm + rg for when the equation is solved for m. He uses the general form to solve the equation –3m = 4m – 15 for m. Which expression shows what Nathaniel will actually evaluate? 4 + 15 – 3 4 – 15 + 3 –15 –

Answer 1

Answer:

The required expression is $m=\frac{-15}{-3-4}$.

Step-by-step explanation:

The general form of the equation is

$gm=cm+rg$             .... (1)

We need to solve this equation for m.

Subtract cm from both the sides.

$gm-cm=rg$

Taking out the common factor.

$m(g-c)=rg$

Divide both sides by (g-c).

$\frac{m(g-c)}{g-c}=\frac{rg}{g-c}$

$m=\frac{rg}{g-c}$               ..... (2)

The given equation is

$-3m=4m-15$            ..... (3)

From (1) and (3), we get

$g=-3,c=4,rg=-15$

Substitute g=-3, c=4, rg=-15 in equation (2).

$m=\frac{-15}{-3-4}$

Therefore the required expression is $m=\frac{-15}{-3-4}$.

Answer 2

Answer:

C

Step-by-step explanation: