The sum of two numbers is 22. Three times one number increased by five is 35.(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.a) What are the equations you would use? Response area and Response areab) What are the two numbers? Response area and Response area10x−y=223x+5=353x=351412x+y=228x+8=35

To solve the problem, let’s first create the equations based on the given information:

a) The equations you would use:

1. \( x + y = 22 \) (the sum of two numbers is 22)
2. \( 3x + 5 = 35 \) (three times one number increased by five is 35)

Thus, you can represent the responses as:

• \( x + y = 22 \)
• \( 3x + 5 = 35 \)

b) To find the two numbers:

1. From the second equation \( 3x + 5 = 35 \), we can solve for \( x \):

   • \( 3x = 30 \)
   • \( x = 10 \)

2. Substitute \( x = 10 \) into the first equation:

   • \( 10 + y = 22 \)
   • \( y = 12 \)

The two numbers are:

• \( 10 \) and \( 12 \)

Thus, you can represent the responses as:

• \( x = 10 \), \( y = 12 \)