Solve y/5+9/2=6/7*36/49

$$\frac { y } { 5 } + \frac { 9 } { 2 } = \frac { 6 } { 7 } \cdot \frac { 36 } { 49 }$$

Solve for y

$$y = -\frac{13275}{686} = -19\frac{241}{686} \approx -19.351311953$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 490, the least common multiple of 5,2,7,49.

$$98y+2205=420\times \frac{36}{49}$$

Express 420\times \frac{36}{49} as a single fraction.

$$98y+2205=\frac{420\times 36}{49}$$

Multiply 420 and 36 to get 15120.

$$98y+2205=\frac{15120}{49}$$

Reduce the fraction \frac{15120}{49} to lowest terms by extracting and canceling out 7.

$$98y+2205=\frac{2160}{7}$$

Subtract 2205 from both sides.

$$98y=\frac{2160}{7}-2205$$

Convert 2205 to fraction \frac{15435}{7}.

$$98y=\frac{2160}{7}-\frac{15435}{7}$$

Since \frac{2160}{7} and \frac{15435}{7} have the same denominator, subtract them by subtracting their numerators.

$$98y=\frac{2160-15435}{7}$$

Subtract 15435 from 2160 to get -13275.

$$98y=-\frac{13275}{7}$$

Divide both sides by 98.

$$y=\frac{-\frac{13275}{7}}{98}$$

Express \frac{-\frac{13275}{7}}{98} as a single fraction.

$$y=\frac{-13275}{7\times 98}$$

Multiply 7 and 98 to get 686.

$$y=\frac{-13275}{686}$$

Fraction \frac{-13275}{686} can be rewritten as -\frac{13275}{686} by extracting the negative sign.

$$y=-\frac{13275}{686}$$