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An equation and solution are shown below. One student asks for an explanation of how to arrive at that solution. Which explanation would be the best for the paraprofessional to provide?

Equation: [tex]x + 17 = 11[/tex]
Solution: [tex]x = -6[/tex]

A. Subtract 17 from both sides of the equation.
B. Subtract 11 from both sides of the equation.
C. Subtract the variable from both sides of the equation.
D. Divide both sides of the equation by 17.

Sagot :

GinnyAnsweridn
To solve the equation [tex]\( x + 17 = 11 \)[/tex], you want to isolate the variable [tex]\( x \)[/tex]. Here are the steps:

1. Subtract 17 from both sides of the equation: This step helps to isolate the variable [tex]\( x \)[/tex]. When you subtract the same number from both sides of an equation, the equality remains true.

Starting with:
[tex]\[ x + 17 = 11 \][/tex]

Subtract 17 from both sides:
[tex]\[ x + 17 - 17 = 11 - 17 \][/tex]

2. Simplify both sides:
[tex]\[ x = -6 \][/tex]

So, the best explanation for arriving at the solution is to subtract 17 from both sides of the equation. This method isolates [tex]\( x \)[/tex] and finds that [tex]\( x = -6 \)[/tex].
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