Solve a=2u+5/4--7

$$a = \frac { 2 u + 5 } { 4 - - 7 }$$

Solve for a

$$a=\frac{2u+5}{11}$$

Solution Steps

The opposite of -7 is 7.

$$a=\frac{2u+5}{4+7}$$

Add 4 and 7 to get 11.

$$a=\frac{2u+5}{11}$$

Divide each term of 2u+5 by 11 to get \frac{2}{11}u+\frac{5}{11}.

$$a=\frac{2}{11}u+\frac{5}{11}$$

Solve for u

$$u=\frac{11a-5}{2}$$

Steps for Solving Linear Equation

The opposite of -7 is 7.

$$a=\frac{2u+5}{4+7}$$

Add 4 and 7 to get 11.

$$a=\frac{2u+5}{11}$$

Divide each term of 2u+5 by 11 to get \frac{2}{11}u+\frac{5}{11}.

$$a=\frac{2}{11}u+\frac{5}{11}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{2}{11}u+\frac{5}{11}=a$$

Subtract \frac{5}{11} from both sides.

$$\frac{2}{11}u=a-\frac{5}{11}$$

Divide both sides of the equation by \frac{2}{11}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{11}u}{\frac{2}{11}}=\frac{a-\frac{5}{11}}{\frac{2}{11}}$$

Dividing by \frac{2}{11} undoes the multiplication by \frac{2}{11}.

$$u=\frac{a-\frac{5}{11}}{\frac{2}{11}}$$

Divide a-\frac{5}{11} by \frac{2}{11} by multiplying a-\frac{5}{11} by the reciprocal of \frac{2}{11}.

$$u=\frac{11a-5}{2}$$