Solve 8757div5451*78124div7542=x+z

$$8757 \div 5451 \times 78124 \div 7542=x+z$$

Solve for x

$$x=\frac{38007326}{2283969}-z$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7542.

$$\frac{8757}{5451}\times 78124=7542x+7542z$$

Reduce the fraction \frac{8757}{5451} to lowest terms by extracting and canceling out 3.

$$\frac{2919}{1817}\times 78124=7542x+7542z$$

Multiply \frac{2919}{1817} and 78124 to get \frac{228043956}{1817}.

$$\frac{228043956}{1817}=7542x+7542z$$

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

$$7542x+7542z=\frac{228043956}{1817}$$

Subtract 7542z from both sides.

$$7542x=\frac{228043956}{1817}-7542z$$

Divide both sides by 7542.

$$\frac{7542x}{7542}=\frac{\frac{228043956}{1817}-7542z}{7542}$$

Dividing by 7542 undoes the multiplication by 7542.

$$x=\frac{\frac{228043956}{1817}-7542z}{7542}$$

Divide \frac{228043956}{1817}-7542z by 7542.

$$x=\frac{38007326}{2283969}-z$$

Solve for z

$$z=\frac{38007326}{2283969}-x$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 7542.

$$\frac{8757}{5451}\times 78124=7542x+7542z$$

Reduce the fraction \frac{8757}{5451} to lowest terms by extracting and canceling out 3.

$$\frac{2919}{1817}\times 78124=7542x+7542z$$

Multiply \frac{2919}{1817} and 78124 to get \frac{228043956}{1817}.

$$\frac{228043956}{1817}=7542x+7542z$$

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

$$7542x+7542z=\frac{228043956}{1817}$$

Subtract 7542x from both sides.

$$7542z=\frac{228043956}{1817}-7542x$$

Divide both sides by 7542.

$$\frac{7542z}{7542}=\frac{\frac{228043956}{1817}-7542x}{7542}$$

Dividing by 7542 undoes the multiplication by 7542.

$$z=\frac{\frac{228043956}{1817}-7542x}{7542}$$

Divide \frac{228043956}{1817}-7542x by 7542.

$$z=\frac{38007326}{2283969}-x$$