Question

Match the equation with the correct solution.(4 points)Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.4x−3=2x+53x−5=2x+106x+4=10x−87x−2=4x+13

Answer 1

To match each equation with its correct solution, let's solve them one by one.

1. Equation: \( 4x - 3 = 2x + 5 \)
   Solution:
   \[ 4x - 2x = 5 + 3
   2x = 8
   x = 4 \]

2. Equation: \( 3x - 5 = 2x + 10 \)
   Solution:
   \[ 3x - 2x = 10 + 5
   x = 15 \]

3. Equation: \( 6x + 4 = 10x - 8 \)
   Solution:
   \[ 6x - 10x = -8 - 4
   -4x = -12
   x = 3 \]

4. Equation: \( 7x - 2 = 4x + 13 \)
   Solution:
   \[ 7x - 4x = 13 + 2
   3x = 15
   x = 5 \]

Now we can match the equations with their solutions:

• \( 4x - 3 = 2x + 5 \), solution: \( x = 4 \)
• \( 3x - 5 = 2x + 10 \), solution: \( x = 15 \)
• \( 6x + 4 = 10x - 8 \), solution: \( x = 3 \)
• \( 7x - 2 = 4x + 13 \), solution: \( x = 5 \)

Thus, the correct matches are:

• 4x - 3 = 2x + 5 : \( x = 4 \)
• 3x - 5 = 2x + 10 : \( x = 15 \)
• 6x + 4 = 10x - 8 : \( x = 3 \)
• 7x - 2 = 4x + 13 : \( x = 5 \)