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 –

Respuesta :

Answer:

The required expression is [tex]m=\frac{-15}{-3-4}[/tex].

Step-by-step explanation:

The general form of the equation is

[tex]gm=cm+rg[/tex]             .... (1)

We need to solve this equation for m.

Subtract cm from both the sides.

[tex]gm-cm=rg[/tex]

Taking out the common factor.

[tex]m(g-c)=rg[/tex]

Divide both sides by (g-c).

[tex]\frac{m(g-c)}{g-c}=\frac{rg}{g-c}[/tex]

[tex]m=\frac{rg}{g-c}[/tex]               ..... (2)

The given equation is

[tex]-3m=4m-15[/tex]            ..... (3)

From (1) and (3), we get

[tex]g=-3,c=4,rg=-15[/tex]

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

[tex]m=\frac{-15}{-3-4}[/tex]

Therefore the required expression is [tex]m=\frac{-15}{-3-4}[/tex].

Answer:

the corect answer on edge is c

Step-by-step explanation:

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