Solve (458+4.5*571)div15x=y

$$(458+4.5 \times 571) \div 15x=y$$

Solve for x

$$x=\frac{6y}{1211}$$

Steps for Solving Linear Equation

Multiply 4.5 and 571 to get 2569.5.

$$\frac{458+2569.5}{15}x=y$$

Add 458 and 2569.5 to get 3027.5.

$$\frac{3027.5}{15}x=y$$

Expand \frac{3027.5}{15} by multiplying both numerator and the denominator by 10.

$$\frac{30275}{150}x=y$$

Reduce the fraction \frac{30275}{150} to lowest terms by extracting and canceling out 25.

$$\frac{1211}{6}x=y$$

Divide both sides of the equation by \frac{1211}{6}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{1211}{6}x}{\frac{1211}{6}}=\frac{y}{\frac{1211}{6}}$$

Dividing by \frac{1211}{6} undoes the multiplication by \frac{1211}{6}.

$$x=\frac{y}{\frac{1211}{6}}$$

Divide y by \frac{1211}{6} by multiplying y by the reciprocal of \frac{1211}{6}.

$$x=\frac{6y}{1211}$$

Solve for y

$$y=\frac{1211x}{6}$$

Solution Steps

Multiply 4.5 and 571 to get 2569.5.

$$\frac{458+2569.5}{15}x=y$$

Add 458 and 2569.5 to get 3027.5.

$$\frac{3027.5}{15}x=y$$

Expand \frac{3027.5}{15} by multiplying both numerator and the denominator by 10.

$$\frac{30275}{150}x=y$$

Reduce the fraction \frac{30275}{150} to lowest terms by extracting and canceling out 25.

$$\frac{1211}{6}x=y$$

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

$$y=\frac{1211}{6}x$$