Solve -9=-5/11(7)+b

$$- 9 = \frac { - 5 } { 11 } ( 7 ) + b$$

Solve for b

$$b = -\frac{64}{11} = -5\frac{9}{11} \approx -5.818181818$$

Steps for Solving Linear Equation

Fraction \frac{-5}{11} can be rewritten as -\frac{5}{11} by extracting the negative sign.

$$-9=-\frac{5}{11}\times 7+b$$

Express -\frac{5}{11}\times 7 as a single fraction.

$$-9=\frac{-5\times 7}{11}+b$$

Multiply -5 and 7 to get -35.

$$-9=\frac{-35}{11}+b$$

Fraction \frac{-35}{11} can be rewritten as -\frac{35}{11} by extracting the negative sign.

$$-9=-\frac{35}{11}+b$$

Swap sides so that all variable terms are on the left hand side.

$$-\frac{35}{11}+b=-9$$

Add \frac{35}{11} to both sides.

$$b=-9+\frac{35}{11}$$

Convert -9 to fraction -\frac{99}{11}.

$$b=-\frac{99}{11}+\frac{35}{11}$$

Since -\frac{99}{11} and \frac{35}{11} have the same denominator, add them by adding their numerators.

$$b=\frac{-99+35}{11}$$

Add -99 and 35 to get -64.

$$b=-\frac{64}{11}$$