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In Mathematics / Middle School | 2014-10-05

Solve each equation. Check your solution.

\[
-\frac{1}{2}x - 7 = -11
\]

Asked by Allalala

Answer (3)

I'll offer you a deal in return for your 5 points: I'll solve it . . . . You check it.
-1/2x - 7 = -11
Add 7 to each side: -1/2 x = -4
Multiply each side by 2 : - x = -8
Multiply each side by -1 : *** x = 8***
Take it Allalala !

Answered by AL2006 | 2024-06-10

− 2 1 ​ x − 7 = − 11 \
− 2 1 ​ x = − 11 + 7 |adding 7 on both sides
− 2 1 ​ x ∗ 2 = − 4 ∗ 2 |multiplying by -2 on both sides
− x = − 8 |dividing by -1 on both sides
x = 8
So, the solution is x =8

Answered by rabinshrestha41 | 2024-06-10

The solution to the equation − 2 1 ​ x − 7 = − 11 is x = 8 . After solving and substituting back into the original equation, both sides match, confirming the solution is correct. Therefore, x = 8 is the valid answer.
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Answered by AL2006 | 2024-12-26