Solve -9/7-1/2w=-9/5

$$- \frac { 9 } { 7 } - \frac { 1 } { 2 } w = - \frac { 9 } { 5 }$$

Solve for w

$$w = \frac{36}{35} = 1\frac{1}{35} \approx 1.028571429$$

Steps for Solving Linear Equation

Add \frac{9}{7} to both sides.

$$-\frac{1}{2}w=-\frac{9}{5}+\frac{9}{7}$$

Least common multiple of 5 and 7 is 35. Convert -\frac{9}{5} and \frac{9}{7} to fractions with denominator 35.

$$-\frac{1}{2}w=-\frac{63}{35}+\frac{45}{35}$$

Since -\frac{63}{35} and \frac{45}{35} have the same denominator, add them by adding their numerators.

$$-\frac{1}{2}w=\frac{-63+45}{35}$$

Add -63 and 45 to get -18.

$$-\frac{1}{2}w=-\frac{18}{35}$$

Multiply both sides by -2, the reciprocal of -\frac{1}{2}.

$$w=-\frac{18}{35}\left(-2\right)$$

Express -\frac{18}{35}\left(-2\right) as a single fraction.

$$w=\frac{-18\left(-2\right)}{35}$$

Multiply -18 and -2 to get 36.

$$w=\frac{36}{35}$$