Solve 10.997-10.025/10.997100=left(759-740right)z

$$\frac{ 10.997-10.025 }{ 10.997 } 100 = \left( 759-740 \right) z$$

Solve for z

$$z=\frac{97200}{208943}\approx 0.465198643$$

Steps for Solving Linear Equation

Subtract 10.025 from 10.997 to get 0.972.

$$\frac{0.972}{10.997}\times 100=\left(759-740\right)z$$

Expand \frac{0.972}{10.997} by multiplying both numerator and the denominator by 1000.

$$\frac{972}{10997}\times 100=\left(759-740\right)z$$

Express \frac{972}{10997}\times 100 as a single fraction.

$$\frac{972\times 100}{10997}=\left(759-740\right)z$$

Multiply 972 and 100 to get 97200.

$$\frac{97200}{10997}=\left(759-740\right)z$$

Subtract 740 from 759 to get 19.

$$\frac{97200}{10997}=19z$$

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

$$19z=\frac{97200}{10997}$$

Divide both sides by 19.

$$z=\frac{\frac{97200}{10997}}{19}$$

Express \frac{\frac{97200}{10997}}{19} as a single fraction.

$$z=\frac{97200}{10997\times 19}$$

Multiply 10997 and 19 to get 208943.

$$z=\frac{97200}{208943}$$