Question

Jan says her work shows that 6 is not a solution of \(3 x-4=14 .\) What is a likely explanation for her error?

Short answer

Jan's error may have been a miscalculation or misunderstanding of the problem. The correct calculation shows that 6 is indeed a solution to the equation \(3x - 4 = 14\).

Step-by-step solution

Substitute the value of x

According to Jan, 6 is not a solution of the equation \(3x - 4 = 14\). Let's substitute \(x = 6\) into the equation.

Evaluate the left-hand side of the equation

On substituting the value of x into the equation we get \(3*6 - 4\) which equals to 14.

Compare the evaluated expression with the right-hand side of the equation

The left hand side of the equation is 14, which is equal to the right hand side of the equation.

Draw a conclusion

Since the evaluated expression is equal to the right side of the equation, we can conclude that 6 is indeed a solution of the equation. Therefore, Jan's error is likely due to a misunderstanding or a computational mistake in her work.