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Questions and Answers
What is the first step in solving the equation $2x + 5 = 15$?
What is the first step in solving the equation $2x + 5 = 15$?
- Divide both sides by 2
- Multiply both sides by 2
- Subtract 5 from both sides (correct)
- Add 5 to both sides
After isolating the term with x in the equation $2x + 5 = 15$, what does the equation become?
After isolating the term with x in the equation $2x + 5 = 15$, what does the equation become?
- $2x = 25$
- $2x = 20$ (correct)
- $2x = 10$
- $2x = 15$
What is the next step after obtaining $2x = 10$?
What is the next step after obtaining $2x = 10$?
- Divide both sides by 2 (correct)
- Multiply both sides by 2
- Subtract 10 from both sides
- Add 2 to both sides
What value of x is found when solving $2x + 5 = 15$?
What value of x is found when solving $2x + 5 = 15$?
If the equation was $2x + 5 = 20$, what would the value of x be?
If the equation was $2x + 5 = 20$, what would the value of x be?
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Study Notes
Solving Linear Equations
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The first step is to isolate the term containing the variable, which is $2x$ in this case. This can be achieved by subtracting 5 from both sides of the equation.
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After subtracting 5 from both sides, the equation becomes $2x = 10$.
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The next step is to isolate the variable "$x$" by dividing both sides of the equation by 2.
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Solving for $x$ in the equation $2x + 5 = 15$ gives us $x = 5$.
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If the equation was $2x + 5 = 20$, then following the same steps, the value of $x$ would be $7.5$.
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