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

the corect answer on edge is c

Explanation:

Answer 2

The required expression is
`m=(-15)/(-3-4)`.

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).

`(m(g-c))/(g-c)=(rg)/(g-c)`

`m=(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=(-15)/(-3-4)`

Therefore the required expression is
`m=(-15)/(-3-4)`.