Solve 1/3(7t-9)=t+9/6

$$\frac { 1 } { 3 } ( 7 t - 9 ) = \frac { t + 9 } { 6 }$$

Solve for t

$$t = \frac{27}{13} = 2\frac{1}{13} \approx 2.076923077$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 3,6.

$$2\left(7t-9\right)=t+9$$

Use the distributive property to multiply 2 by 7t-9.

$$14t-18=t+9$$

Subtract t from both sides.

$$14t-18-t=9$$

Combine 14t and -t to get 13t.

$$13t-18=9$$

Add 18 to both sides.

$$13t=9+18$$

Add 9 and 18 to get 27.

$$13t=27$$

Divide both sides by 13.

$$t=\frac{27}{13}$$