27.0k views
3 votes
A number is equal to the sum of half a sebond 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.

1 Answer

3 votes
As per the given information, we can set up two equations:

First number = 1/2 * second number + 3
First number = 1/4 * second number + 5
Since both equations are equal to the first number, we can set them equal to each other:

1/2 * second number + 3 = 1/4 * second number + 5

Simplifying this equation, we get:

1/4 * second number = 2

Multiplying both sides by 4, we get:

second number = 8

Now we can substitute this value back into one of the original equations to find the first number:

First number = 1/2 * 8 + 3 = 7

Therefore, the first number is 7 and the second number is 8
User Ralphje
by
8.2k points