Solve 3a+4b=3*(6k+2)+4(6k+5)

$$3 a + 4 b = 3 \cdot ( 6 k + 2 ) + 4 ( 6 k + 5 )$$

Solve for a

$$a=-\frac{4b}{3}+14k+\frac{26}{3}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 6k+2.

$$3a+4b=18k+6+4\left(6k+5\right)$$

Use the distributive property to multiply 4 by 6k+5.

$$3a+4b=18k+6+24k+20$$

Combine 18k and 24k to get 42k.

$$3a+4b=42k+6+20$$

Add 6 and 20 to get 26.

$$3a+4b=42k+26$$

Subtract 4b from both sides.

$$3a=42k+26-4b$$

The equation is in standard form.

$$3a=26+42k-4b$$

Divide both sides by 3.

$$\frac{3a}{3}=\frac{26+42k-4b}{3}$$

Dividing by 3 undoes the multiplication by 3.

$$a=\frac{26+42k-4b}{3}$$

Divide 42k+26-4b by 3.

$$a=-\frac{4b}{3}+14k+\frac{26}{3}$$

Solve for b

$$b=\frac{21k}{2}-\frac{3a}{4}+\frac{13}{2}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by 6k+2.

$$3a+4b=18k+6+4\left(6k+5\right)$$

Use the distributive property to multiply 4 by 6k+5.

$$3a+4b=18k+6+24k+20$$

Combine 18k and 24k to get 42k.

$$3a+4b=42k+6+20$$

Add 6 and 20 to get 26.

$$3a+4b=42k+26$$

Subtract 3a from both sides.

$$4b=42k+26-3a$$

The equation is in standard form.

$$4b=26+42k-3a$$

Divide both sides by 4.

$$\frac{4b}{4}=\frac{26+42k-3a}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$b=\frac{26+42k-3a}{4}$$

Divide 42k+26-3a by 4.

$$b=\frac{21k}{2}-\frac{3a}{4}+\frac{13}{2}$$