Solve 7/4x+1/10y=10.2

$$\frac{ 7 }{ 4 } x+ \frac{ 1 }{ 10 } y=10.2$$

Solve for x

$$x=\frac{204-2y}{35}$$

Steps for Solving Linear Equation

Subtract \frac{1}{10}y from both sides.

$$\frac{7}{4}x=10.2-\frac{1}{10}y$$

The equation is in standard form.

$$\frac{7}{4}x=-\frac{y}{10}+10.2$$

Divide both sides of the equation by \frac{7}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{7}{4}x}{\frac{7}{4}}=\frac{-\frac{y}{10}+\frac{51}{5}}{\frac{7}{4}}$$

Dividing by \frac{7}{4} undoes the multiplication by \frac{7}{4}.

$$x=\frac{-\frac{y}{10}+\frac{51}{5}}{\frac{7}{4}}$$

Divide \frac{51}{5}-\frac{y}{10} by \frac{7}{4} by multiplying \frac{51}{5}-\frac{y}{10} by the reciprocal of \frac{7}{4}.

$$x=\frac{204-2y}{35}$$

Solve for y

$$y=-\frac{35x}{2}+102$$

Steps for Solving Linear Equation

Subtract \frac{7}{4}x from both sides.

$$\frac{1}{10}y=10.2-\frac{7}{4}x$$

The equation is in standard form.

$$\frac{1}{10}y=-\frac{7x}{4}+10.2$$

Multiply both sides by 10.

$$\frac{\frac{1}{10}y}{\frac{1}{10}}=\frac{-\frac{7x}{4}+\frac{51}{5}}{\frac{1}{10}}$$

Dividing by \frac{1}{10} undoes the multiplication by \frac{1}{10}.

$$y=\frac{-\frac{7x}{4}+\frac{51}{5}}{\frac{1}{10}}$$

Divide \frac{51}{5}-\frac{7x}{4} by \frac{1}{10} by multiplying \frac{51}{5}-\frac{7x}{4} by the reciprocal of \frac{1}{10}.

$$y=-\frac{35x}{2}+102$$