Solve a/8-15/4+b/2-2=0

$$\frac{ a }{ 8 } - \frac{ 15 }{ 4 } + \frac{ b }{ 2 } -2=0$$

Solve for a

$$a=46-4b$$

Solution Steps

Multiply both sides of the equation by 8, the least common multiple of 8,4,2.

$$a-30+4b-16=0$$

Subtract 16 from -30 to get -46.

$$a-46+4b=0$$

Add 46 to both sides. Anything plus zero gives itself.

$$a+4b=46$$

Subtract 4b from both sides.

$$a=46-4b$$

Solve for b

$$b=-\frac{a}{4}+\frac{23}{2}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 8, the least common multiple of 8,4,2.

$$a-30+4b-16=0$$

Subtract 16 from -30 to get -46.

$$a-46+4b=0$$

Subtract a from both sides. Anything subtracted from zero gives its negation.

$$-46+4b=-a$$

Add 46 to both sides.

$$4b=-a+46$$

The equation is in standard form.

$$4b=46-a$$

Divide both sides by 4.

$$\frac{4b}{4}=\frac{46-a}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$b=\frac{46-a}{4}$$

Divide -a+46 by 4.

$$b=-\frac{a}{4}+\frac{23}{2}$$