Solve 7x+63=48/13x+14z

$$7 x + 63 = \frac { 48 } { 13 } x + 14 z$$

Solve for x

$$x=\frac{182z-819}{43}$$

Steps for Solving Linear Equation

Subtract \frac{48}{13}x from both sides.

$$7x+63-\frac{48}{13}x=14z$$

Combine 7x and -\frac{48}{13}x to get \frac{43}{13}x.

$$\frac{43}{13}x+63=14z$$

Subtract 63 from both sides.

$$\frac{43}{13}x=14z-63$$

Divide both sides of the equation by \frac{43}{13}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{43}{13}x}{\frac{43}{13}}=\frac{14z-63}{\frac{43}{13}}$$

Dividing by \frac{43}{13} undoes the multiplication by \frac{43}{13}.

$$x=\frac{14z-63}{\frac{43}{13}}$$

Divide 14z-63 by \frac{43}{13} by multiplying 14z-63 by the reciprocal of \frac{43}{13}.

$$x=\frac{182z-819}{43}$$

Solve for z

$$z=\frac{43x}{182}+\frac{9}{2}$$

Steps for Solving Linear Equation

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

$$\frac{48}{13}x+14z=7x+63$$

Subtract \frac{48}{13}x from both sides.

$$14z=7x+63-\frac{48}{13}x$$

Combine 7x and -\frac{48}{13}x to get \frac{43}{13}x.

$$14z=\frac{43}{13}x+63$$

The equation is in standard form.

$$14z=\frac{43x}{13}+63$$

Divide both sides by 14.

$$\frac{14z}{14}=\frac{\frac{43x}{13}+63}{14}$$

Dividing by 14 undoes the multiplication by 14.

$$z=\frac{\frac{43x}{13}+63}{14}$$

Divide 63+\frac{43x}{13} by 14.

$$z=\frac{43x}{182}+\frac{9}{2}$$