Solve 5a_{1}+5*4/2d=-10

$$5 a _ { 1 } + \frac { 5 \times 4 } { 2 } d = - 10$$

Solve for a_1

$$a_{1}=-2d-2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$10a_{1}+5\times 4d=-20$$

Multiply 5 and 4 to get 20.

$$10a_{1}+20d=-20$$

Subtract 20d from both sides.

$$10a_{1}=-20-20d$$

The equation is in standard form.

$$10a_{1}=-20d-20$$

Divide both sides by 10.

$$\frac{10a_{1}}{10}=\frac{-20d-20}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$a_{1}=\frac{-20d-20}{10}$$

Divide -20-20d by 10.

$$a_{1}=-2d-2$$

Solve for d

$$d=-\frac{a_{1}}{2}-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$10a_{1}+5\times 4d=-20$$

Multiply 5 and 4 to get 20.

$$10a_{1}+20d=-20$$

Subtract 10a_{1} from both sides.

$$20d=-20-10a_{1}$$

The equation is in standard form.

$$20d=-10a_{1}-20$$

Divide both sides by 20.

$$\frac{20d}{20}=\frac{-10a_{1}-20}{20}$$

Dividing by 20 undoes the multiplication by 20.

$$d=\frac{-10a_{1}-20}{20}$$

Divide -20-10a_{1} by 20.

$$d=-\frac{a_{1}}{2}-1$$