Solve 1/2a+3b=15

$$\frac { 1 } { 2 } a + 3 b = 15$$

Solve for a

$$a=30-6b$$

Steps for Solving Linear Equation

Subtract 3b from both sides.

$$\frac{1}{2}a=15-3b$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}a}{\frac{1}{2}}=\frac{15-3b}{\frac{1}{2}}$$

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

$$a=\frac{15-3b}{\frac{1}{2}}$$

Divide 15-3b by \frac{1}{2} by multiplying 15-3b by the reciprocal of \frac{1}{2}.

$$a=30-6b$$

Solve for b

$$b=-\frac{a}{6}+5$$

Steps for Solving Linear Equation

Subtract \frac{1}{2}a from both sides.

$$3b=15-\frac{1}{2}a$$

The equation is in standard form.

$$3b=-\frac{a}{2}+15$$

Divide both sides by 3.

$$\frac{3b}{3}=\frac{-\frac{a}{2}+15}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$b=\frac{-\frac{a}{2}+15}{3}$$

Divide 15-\frac{a}{2} by 3.

$$b=-\frac{a}{6}+5$$