Which equation has the solution x, equals, 3x=3?

Question

Answer
Multiple Choice Answers
3, x, plus, 8, equals, 413x+8=41
4, x, minus, 2, equals, 104x−2=10
9, x, plus, 1, equals, minus, 289x+1=−28
2, x, plus, 3, equals, 202x+3=20

Answer 1

To find the equation that has the solution \( x = 3 \), let's substitute \( x = 3 \) into each option and see which one holds true.

1. Option 1: \( 3x + 8 = 41 \)

   Substitute \( x = 3 \): \[ 3(3) + 8 = 9 + 8 = 17 \quad \text{(not equal to 41)} \]

2. Option 2: \( 4x - 2 = 10 \)

   Substitute \( x = 3 \): \[ 4(3) - 2 = 12 - 2 = 10 \quad \text{(this is true)} \]

3. Option 3: \( 9x + 1 = -28 \)

   Substitute \( x = 3 \): \[ 9(3) + 1 = 27 + 1 = 28 \quad \text{(not equal to -28)} \]

4. Option 4: \( 2x + 3 = 20 \)

   Substitute \( x = 3 \): \[ 2(3) + 3 = 6 + 3 = 9 \quad \text{(not equal to 20)} \]

From the evaluations, only Option 2: \( 4x - 2 = 10 \) is true when \( x = 3 \).

Thus, the answer is: 4, x - 2 = 10.