Solve 15/100*70x+5/100*17y=400

$$\frac{ 15 }{ 100 } \times 70x+ \frac{ 5 }{ 100 } \times 17y=400$$

Solve for x

$$x=-\frac{17y}{210}+\frac{800}{21}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{3}{20}\times 70x+\frac{5}{100}\times 17y=400$$

Multiply \frac{3}{20} and 70 to get \frac{21}{2}.

$$\frac{21}{2}x+\frac{5}{100}\times 17y=400$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{21}{2}x+\frac{1}{20}\times 17y=400$$

Multiply \frac{1}{20} and 17 to get \frac{17}{20}.

$$\frac{21}{2}x+\frac{17}{20}y=400$$

Subtract \frac{17}{20}y from both sides.

$$\frac{21}{2}x=400-\frac{17}{20}y$$

The equation is in standard form.

$$\frac{21}{2}x=-\frac{17y}{20}+400$$

Divide both sides of the equation by \frac{21}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{21}{2}x}{\frac{21}{2}}=\frac{-\frac{17y}{20}+400}{\frac{21}{2}}$$

Dividing by \frac{21}{2} undoes the multiplication by \frac{21}{2}.

$$x=\frac{-\frac{17y}{20}+400}{\frac{21}{2}}$$

Divide 400-\frac{17y}{20} by \frac{21}{2} by multiplying 400-\frac{17y}{20} by the reciprocal of \frac{21}{2}.

$$x=-\frac{17y}{210}+\frac{800}{21}$$

Solve for y

$$y=\frac{8000-210x}{17}$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$\frac{3}{20}\times 70x+\frac{5}{100}\times 17y=400$$

Multiply \frac{3}{20} and 70 to get \frac{21}{2}.

$$\frac{21}{2}x+\frac{5}{100}\times 17y=400$$

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{21}{2}x+\frac{1}{20}\times 17y=400$$

Multiply \frac{1}{20} and 17 to get \frac{17}{20}.

$$\frac{21}{2}x+\frac{17}{20}y=400$$

Subtract \frac{21}{2}x from both sides.

$$\frac{17}{20}y=400-\frac{21}{2}x$$

The equation is in standard form.

$$\frac{17}{20}y=-\frac{21x}{2}+400$$

Divide both sides of the equation by \frac{17}{20}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{17}{20}y}{\frac{17}{20}}=\frac{-\frac{21x}{2}+400}{\frac{17}{20}}$$

Dividing by \frac{17}{20} undoes the multiplication by \frac{17}{20}.

$$y=\frac{-\frac{21x}{2}+400}{\frac{17}{20}}$$

Divide 400-\frac{21x}{2} by \frac{17}{20} by multiplying 400-\frac{21x}{2} by the reciprocal of \frac{17}{20}.

$$y=\frac{8000-210x}{17}$$