### Home > AC > Chapter 10 > Lesson 10.1.2 > Problem10-22

10-22.

Solve the equations below. Check your solution(s).

1. $\frac { m } { 6 } = \frac { m + 1 } { 5 }$

Multiply by the least common denominator to factor out the denominators.

The LCM of $6$ and $5$ is $30$.

$5m=6\left(m+1\right)$

$m=-6$

1. $\frac { 3 x - 5 } { 2 } = \frac { 4 x + 1 } { 4 }$

Refer to part (a).

1. $\frac { 8 } { k } = \frac { 14 } { k + 3 }$

Multiply by the least common denominator. In this case, the LCD is $k\left(k+3\right)$.

$8\left(k+3\right)=14k$

1. $\frac { x } { 9 } = 10$

Any whole number can be rewritten so it has a denominator of $1$. So,

$10 = \frac{10}{1}$

Refer to part (a).