Solve x5*10/100+196=x4*16/100

$$\frac{ x5 \cdot 10 }{ 100 } +196 = \frac{ x4 \cdot 16 }{ 100 }$$

Solve for x_4

$$x_{4}=\frac{5\left(x_{5}+1960\right)}{8}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$x_{5}\times 10+19600=x_{4}\times 16$$

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

$$x_{4}\times 16=x_{5}\times 10+19600$$

The equation is in standard form.

$$16x_{4}=10x_{5}+19600$$

Divide both sides by 16.

$$\frac{16x_{4}}{16}=\frac{10x_{5}+19600}{16}$$

Dividing by 16 undoes the multiplication by 16.

$$x_{4}=\frac{10x_{5}+19600}{16}$$

Divide 19600+10x_{5} by 16.

$$x_{4}=\frac{5x_{5}}{8}+1225$$

Solve for x_5

$$x_{5}=\frac{8\left(x_{4}-1225\right)}{5}$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 100.

$$x_{5}\times 10+19600=x_{4}\times 16$$

Subtract 19600 from both sides.

$$x_{5}\times 10=x_{4}\times 16-19600$$

The equation is in standard form.

$$10x_{5}=16x_{4}-19600$$

Divide both sides by 10.

$$\frac{10x_{5}}{10}=\frac{16x_{4}-19600}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$x_{5}=\frac{16x_{4}-19600}{10}$$

Divide -19600+16x_{4} by 10.

$$x_{5}=\frac{8x_{4}}{5}-1960$$