Question

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

) What are the two numbers?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's call the first number x and the second number y.

The sum of the two numbers is 22, so we can write the equation:
x + y = 22

Three times one number increased by five is 35, so we can write the equation:
3x + 5 = 35

To find the values of x and y, we can solve these two equations simultaneously.

Answer 2

[AI-generated answer — Step-by-Step Bot]

Let's call the first number x and the second number y.

From the first statement, we know that the sum of the two numbers is 22, so we can write the equation: x + y = 22.

From the second statement, we know that three times one number (let's say x) increased by five is 35, so we can write the equation: 3x + 5 = 35.

To solve this system of equations, we can use the method of substitution.

First, solve the second equation for x:
3x + 5 = 35
3x = 35 - 5
3x = 30
x = 30/3
x = 10

Now, substitute the value of x into the first equation:
10 + y = 22
y = 22 - 10
y = 12

Therefore, the two numbers are 10 and 12.

Answer 3

[AI-generated answer — Explain Bot]

To find the two numbers, let's set up a system of equations using the information given:

Let's call the two numbers x and y.

The first equation tells us that the sum of two numbers is 22:
x + y = 22

The second equation tells us that three times one number (let's use x) increased by five is 35:
3x + 5 = 35

To solve this system of equations, we can use substitution or elimination. Let's use substitution in this case.

From the first equation, we can solve for one variable in terms of the other:
x = 22 - y

Now, substitute this expression for x in the second equation:
3(22 - y) + 5 = 35

Distribute and simplify:
66 - 3y + 5 = 35
-3y + 71 = 35
-3y = 35 - 71
-3y = -36

Divide both sides of the equation by -3 to solve for y:
y = -36 / -3
y = 12

Now, substitute this value for y back into the first equation to solve for x:
x + 12 = 22
x = 22 - 12
x = 10

Therefore, the two numbers are 10 and 12.