Solve 4a+6b=37

$$4 a + 6 b = 37$$

Solve for a

$$a=-\frac{3b}{2}+\frac{37}{4}$$

Steps for Solving Linear Equation

Subtract 6b from both sides.

$$4a=37-6b$$

Divide both sides by 4.

$$\frac{4a}{4}=\frac{37-6b}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$a=\frac{37-6b}{4}$$

Divide 37-6b by 4.

$$a=-\frac{3b}{2}+\frac{37}{4}$$

Solve for b

$$b=-\frac{2a}{3}+\frac{37}{6}$$

Steps for Solving Linear Equation

Subtract 4a from both sides.

$$6b=37-4a$$

Divide both sides by 6.

$$\frac{6b}{6}=\frac{37-4a}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$b=\frac{37-4a}{6}$$

Divide 37-4a by 6.

$$b=-\frac{2a}{3}+\frac{37}{6}$$