Solve for e. {:[9e-7=7e-11],[e=◻]:}

Write down equations: Write down the system of equations. We have the following system of equations: \[ 9e - 7 = 7e - 11 \] \[ e = ◻ \] We need to find the value of e that satisfies both equations.Isolate variable e: Isolate the variable e on one side in the first equation. To do this, we will subtract 7e from both sides of the equation: \[ 9e - 7 - 7e = 7e - 11 - 7e \] \[ 2e - 7 = -11 \] Now, we have isolated the terms with e on one side of the equation.Add to isolate e: Add 7 to both sides of the equation to isolate e completely. \[ 2e - 7 + 7 = -11 + 7 \] \[ 2e = -4 \] Now, we have an equation with e on one side and a constant on the other.Divide to solve for e: Divide both sides of the equation by 2 to solve for e. \[ \frac{2e}{2} = \frac{-4}{2} \] \[ e = -2 \] We have found the value of e that satisfies the first equation.Check second equation: Check if the found value of e satisfies the second equation. The second equation is simply e = ◻, which means we need to fill in the blank with the value of e we found. Since we found e = -2, we can fill in the blank with -2.

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Solve for $e$ . $\newline$ $\begin{array}{l} 9 e-7=7 e-11 \\ e=\square \end{array}$

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Algebra 1

Solve linear equations with variables on both sides

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Q. Solve for

e

\newline

\begin{array}{l} 9 e-7=7 e-11 \\ e=\square \end{array}

Write down equations: Write down the system of equations. $\newline$ We have the following system of equations: $\newline$ $9e - 7 = 7e - 11$ $\newline$ $e = ◻$ $\newline$ We need to find the value of e that satisfies both equations.
Isolate variable e: Isolate the variable e on one side in the first equation. $\newline$ To do this, we will subtract $7$ e from both sides of the equation: $\newline$ $9e - 7 - 7e = 7e - 11 - 7e$ $\newline$ $2e - 7 = -11$ $\newline$ Now, we have isolated the terms with e on one side of the equation.
Add to isolate e: Add $7$ to both sides of the equation to isolate e completely. $\newline$ $2e - 7 + 7 = -11 + 7$ $\newline$ $2e = -4$ $\newline$ Now, we have an equation with e on one side and a constant on the other.
Divide to solve for e: Divide both sides of the equation by $2$ to solve for e. $\newline$ $\frac{2e}{2} = \frac{-4}{2}$ $\newline$ $e = -2$ $\newline$ We have found the value of e that satisfies the first equation.
Check second equation: Check if the found value of $e$ satisfies the second equation. $\newline$ The second equation is simply $e = \square$ , which means we need to fill in the blank with the value of $e$ we found. $\newline$ Since we found $e = -2$ , we can fill in the blank with $-2$ .