Solve 6(a+b)=10a+b

$$6 ( a + b ) = 10 a + b$$

Solve for a

$$a=\frac{5b}{4}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by a+b.

$$6a+6b=10a+b$$

Subtract 10a from both sides.

$$6a+6b-10a=b$$

Combine 6a and -10a to get -4a.

$$-4a+6b=b$$

Subtract 6b from both sides.

$$-4a=b-6b$$

Combine b and -6b to get -5b.

$$-4a=-5b$$

Divide both sides by -4.

$$\frac{-4a}{-4}=-\frac{5b}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$a=-\frac{5b}{-4}$$

Divide -5b by -4.

$$a=\frac{5b}{4}$$

Solve for b

$$b=\frac{4a}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by a+b.

$$6a+6b=10a+b$$

Subtract b from both sides.

$$6a+6b-b=10a$$

Combine 6b and -b to get 5b.

$$6a+5b=10a$$

Subtract 6a from both sides.

$$5b=10a-6a$$

Combine 10a and -6a to get 4a.

$$5b=4a$$

Divide both sides by 5.

$$\frac{5b}{5}=\frac{4a}{5}$$

Dividing by 5 undoes the multiplication by 5.

$$b=\frac{4a}{5}$$