Solve 4g+6f+c=-11)-(10g+4f+c=-2)

$$4 g + 6 f + c = - 11 ) - ( 10 g + 4 f + c = - 2 )$$

Solve for c

$$c=-6f-4g-11$$

Solution Steps

Subtract 4g from both sides.

$$6f+c=-11-4g$$

Subtract 6f from both sides.

$$c=-11-4g-6f$$

Solve for f

$$f=-\frac{c}{6}-\frac{2g}{3}-\frac{11}{6}$$

Steps for Solving Linear Equation

Subtract 4g from both sides.

$$6f+c=-11-4g$$

Subtract c from both sides.

$$6f=-11-4g-c$$

The equation is in standard form.

$$6f=-c-4g-11$$

Divide both sides by 6.

$$\frac{6f}{6}=\frac{-c-4g-11}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$f=\frac{-c-4g-11}{6}$$

Divide -11-4g-c by 6.

$$f=-\frac{c}{6}-\frac{2g}{3}-\frac{11}{6}$$