Solve 2.8divy=13/4div5

$$2.8 \div y= 1 \frac { 3 } { 4 } \div 5$$

Solve for y

$$y=8$$

Steps for Solving Linear Equation

Variable y cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 5y, the least common multiple of y,5.

$$5\times 2.8=y\times \frac{1\times 4+3}{4}$$

Multiply 5 and 2.8 to get 14.

$$14=y\times \frac{1\times 4+3}{4}$$

Multiply 1 and 4 to get 4.

$$14=y\times \frac{4+3}{4}$$

Add 4 and 3 to get 7.

$$14=y\times \frac{7}{4}$$

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

$$y\times \frac{7}{4}=14$$

Multiply both sides by \frac{4}{7}, the reciprocal of \frac{7}{4}.

$$y=14\times \frac{4}{7}$$

Express 14\times \frac{4}{7} as a single fraction.

$$y=\frac{14\times 4}{7}$$

Multiply 14 and 4 to get 56.

$$y=\frac{56}{7}$$

Divide 56 by 7 to get 8.

$$y=8$$