Solve 221/5=-101/9+d

$$22 \frac { 1 } { 5 } = - 10 \frac { 1 } { 9 } + d$$

Solve for d

$$d = \frac{1454}{45} = 32\frac{14}{45} \approx 32.311111111$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 45, the least common multiple of 5,9.

$$9\left(22\times 5+1\right)=-5\left(10\times 9+1\right)+45d$$

Multiply 22 and 5 to get 110.

$$9\left(110+1\right)=-5\left(10\times 9+1\right)+45d$$

Add 110 and 1 to get 111.

$$9\times 111=-5\left(10\times 9+1\right)+45d$$

Multiply 9 and 111 to get 999.

$$999=-5\left(10\times 9+1\right)+45d$$

Multiply 10 and 9 to get 90.

$$999=-5\left(90+1\right)+45d$$

Add 90 and 1 to get 91.

$$999=-5\times 91+45d$$

Multiply -5 and 91 to get -455.

$$999=-455+45d$$

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

$$-455+45d=999$$

Add 455 to both sides.

$$45d=999+455$$

Add 999 and 455 to get 1454.

$$45d=1454$$

Divide both sides by 45.

$$d=\frac{1454}{45}$$