Solve 11/9y+7/18y-5/27y=11/4

$$1 \frac { 1 } { 9 } y + \frac { 7 } { 18 } y - \frac { 5 } { 27 } y = 1 \frac { 1 } { 4 }$$

Solve for y

$$y=\frac{135}{142}\approx 0.950704225$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 108, the least common multiple of 9,18,27,4.

$$12\left(1\times 9+1\right)y+42y-20y=27\left(1\times 4+1\right)$$

Multiply 1 and 9 to get 9.

$$12\left(9+1\right)y+42y-20y=27\left(1\times 4+1\right)$$

Add 9 and 1 to get 10.

$$12\times 10y+42y-20y=27\left(1\times 4+1\right)$$

Multiply 12 and 10 to get 120.

$$120y+42y-20y=27\left(1\times 4+1\right)$$

Combine 120y and 42y to get 162y.

$$162y-20y=27\left(1\times 4+1\right)$$

Combine 162y and -20y to get 142y.

$$142y=27\left(1\times 4+1\right)$$

Multiply 1 and 4 to get 4.

$$142y=27\left(4+1\right)$$

Add 4 and 1 to get 5.

$$142y=27\times 5$$

Multiply 27 and 5 to get 135.

$$142y=135$$

Divide both sides by 142.

$$y=\frac{135}{142}$$