Solve 4w_{2}-9(6-5w)=44;w=3

$$4 w _ { 2 } - 9 ( 6 - 5 w ) = 44 ; w = 3$$

Solve for w_2, w

$$w_{2} = -\frac{37}{4} = -9\frac{1}{4} = -9.25$$

$$w=3$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$4w_{2}-9\left(6-5\times 3\right)=44$$

Multiply -5 and 3 to get -15.

$$4w_{2}-9\left(6-15\right)=44$$

Subtract 15 from 6 to get -9.

$$4w_{2}-9\left(-9\right)=44$$

Multiply -9 and -9 to get 81.

$$4w_{2}+81=44$$

Subtract 81 from both sides.

$$4w_{2}=44-81$$

Subtract 81 from 44 to get -37.

$$4w_{2}=-37$$

Divide both sides by 4.

$$w_{2}=-\frac{37}{4}$$

The system is now solved.

$$w_{2}=-\frac{37}{4} w=3$$