Question

Solve for x -13-2/11x= -9

Answer 1

x = -22

Step-by-step explanation:

Given the following equation

`\begin{gathered} -13\text{ - }(2)/(11)x\text{ = -9} \\ \text{Step 1}\colon\text{ Find the common denominator} \\ \text{The common denominator is 11} \\ \frac{-13\cdot11\text{ - 2x}}{11}\text{ = -9} \\ \text{Cross multiply} \\ -13\cdot11\text{ - 2x = -9 }\cdot\text{ 11} \\ -143\text{ - 2x = -99} \\ \text{Collect the like terms} \\ -2x\text{ = -99 + 143} \\ -2x\text{ = 44} \\ \text{Divide both sides by -2} \\ (-2x)/(-2)\text{ = }(44)/(-2) \\ \text{x = -22} \\ \end{gathered}`

Therefore, x = -22