Solve -4.5=3/2[2a+2d]

$$- 4.5 = \frac { 3 } { 2 } [ 2 a + 2 d ]$$

Solve for a

$$a=-d-1.5$$

Steps for Solving Linear Equation

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$-4.5\times \frac{2}{3}=2a+2d$$

Multiply -4.5 and \frac{2}{3} to get -3.

$$-3=2a+2d$$

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

$$2a+2d=-3$$

Subtract 2d from both sides.

$$2a=-3-2d$$

The equation is in standard form.

$$2a=-2d-3$$

Divide both sides by 2.

$$\frac{2a}{2}=\frac{-2d-3}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$a=\frac{-2d-3}{2}$$

Divide -3-2d by 2.

$$a=-d-\frac{3}{2}$$

Solve for d

$$d=-a-1.5$$

Steps for Solving Linear Equation

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}.

$$-4.5\times \frac{2}{3}=2a+2d$$

Multiply -4.5 and \frac{2}{3} to get -3.

$$-3=2a+2d$$

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

$$2a+2d=-3$$

Subtract 2a from both sides.

$$2d=-3-2a$$

The equation is in standard form.

$$2d=-2a-3$$

Divide both sides by 2.

$$\frac{2d}{2}=\frac{-2a-3}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$d=\frac{-2a-3}{2}$$

Divide -3-2a by 2.

$$d=-a-\frac{3}{2}$$