consider the equation.\n$x+\frac{5}{7}=\frac{31}{7}$\nif you use the addition property of equality, what…

consider the equation.\n$x+\frac{5}{7}=\frac{31}{7}$\nif you use the addition property of equality, what number would you add to both sides of the equal sign to isolate the variable?\nwhat is the solution?

consider the equation.\n$x+\frac{5}{7}=\frac{31}{7}$\nif you use the addition property of equality, what number would you add to both sides of the equal sign to isolate the variable?\nwhat is the solution?

Answer

Explanation:

Step1: Determine the number to add

To isolate the variable (x) in the equation (x+\frac{5}{7}=\frac{31}{7}) using the addition property of equality, we need to add the additive inverse of (\frac{5}{7}) to both sides. The additive inverse of (\frac{5}{7}) is (-\frac{5}{7}).

Step2: Solve for (x)

[ \begin{align*} x+\frac{5}{7}+(-\frac{5}{7})&=\frac{31}{7}+(-\frac{5}{7})\ x&=\frac{31 - 5}{7}\ x&=\frac{26}{7} \end{align*} ]

Answer:

You would add (-\frac{5}{7}) to both sides. The solution is (x = \frac{26}{7}).