Solve 25:18=5:k-1

$$25 : 18 = 5 : k - 1$$

Solve for k

$$k = \frac{90}{43} = 2\frac{4}{43} \approx 2.093023256$$

Steps for Solving Linear Equation

Variable k cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 18k, the least common multiple of 18,k.

$$25k=18\times 5+18k\left(-1\right)$$

Multiply 18 and 5 to get 90.

$$25k=90+18k\left(-1\right)$$

Multiply 18 and -1 to get -18.

$$25k=90-18k$$

Add 18k to both sides.

$$25k+18k=90$$

Combine 25k and 18k to get 43k.

$$43k=90$$

Divide both sides by 43.

$$k=\frac{90}{43}$$