Question:
Solve for ( x ): ( 3x + 7 = 16 ).
Solve for ( x ): ( 3x + 7 = 16 ).
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After solving an equation, always verify your answer by substituting it back into the original equation. For this problem: \(3(3) + 7 = 9 + 7 = 16\). Since this is true, the solution is correct.
Updated On: Oct 4, 2025
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept
This is a linear equation in one variable. The goal is to isolate the variable 'x' on one side of the equation.
Step 2: Key Formula or Approach
To solve for x, we will use inverse operations to isolate it.
1. Subtract any constants added to the term with x.
2. Divide by the coefficient of x.
Step 3: Detailed Explanation
We are given the equation:
\[ 3x + 7 = 16 \] First, subtract 7 from both sides of the equation to isolate the term with x:
\[ 3x + 7 - 7 = 16 - 7 \] \[ 3x = 9 \] Next, divide both sides by the coefficient of x, which is 3:
\[ \frac{3x}{3} = \frac{9}{3} \] \[ x = 3 \] Step 4: Final Answer
The value of x that satisfies the equation is 3. This corresponds to option (B). Note that the provided answer key in the image `Answer: (A) 3` contains a typo, mixing the option letter (A) with the correct value (3), which is listed as option (B).
This is a linear equation in one variable. The goal is to isolate the variable 'x' on one side of the equation.
Step 2: Key Formula or Approach
To solve for x, we will use inverse operations to isolate it.
1. Subtract any constants added to the term with x.
2. Divide by the coefficient of x.
Step 3: Detailed Explanation
We are given the equation:
\[ 3x + 7 = 16 \] First, subtract 7 from both sides of the equation to isolate the term with x:
\[ 3x + 7 - 7 = 16 - 7 \] \[ 3x = 9 \] Next, divide both sides by the coefficient of x, which is 3:
\[ \frac{3x}{3} = \frac{9}{3} \] \[ x = 3 \] Step 4: Final Answer
The value of x that satisfies the equation is 3. This corresponds to option (B). Note that the provided answer key in the image `Answer: (A) 3` contains a typo, mixing the option letter (A) with the correct value (3), which is listed as option (B).
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