Question

A number is equal to the sum of half a second number and 3. The first number is also equal to the sum of one-quarter of

the second number and 5. The situation can be represented by using the graph below, where x represents the second
number.
46-
14-
42-
10+
8-
6
2-
2-
246
8 10 12 14 16 x
Which equations represent the situation?
Mark this and return
Save and Exit
Next
Submit

Answer 1

First number 7

Explanation:

First, let's make the first number y and the second number x

Next, we write our equations which are y=1/2x+3 and y=1/4x+5

Then, we set those two equations equal to each other and then solve for x

The first step of the equation is to add/subtract like terms, I subtracted 5 on each side of the equation, our new equation is 1/4x=1/2x-2, I then subtracted 1/2x on each side so now our equation is -1/4x=-2. We then multiply 1/4 by its reciprocal on each side. Its reciprocal is -4.

Now that we know x is equal to 8 now we can fill x into the original equations which were y=1/2x+3 and y=1/4x+5 you don't have to solve both, just one of your choosing.

Therefore your answer! .