To find. To define variables to find the two numbers, find the system of equations and solve it using graphical method.
Answer to Problem 17SGR
Define variables: The first number is x and the second number is y.
The system of equations to find the two numbers is:
The first number is 9 and the second number is 5.
Explanation of Solution
Given information :
The sum of the two numbers are 14.
And the difference of the two numbers are 4.
Let the first number is x
And the second number is y
So according to the question:
First number + Second number = 14
Or
First number - Second number = 5
Or
So the system of equations to find the numbers are:
The graph of the above equations is below:
The lines cut at only one place at point (9,5). So these two equations have only one solution {at point (9,5)}. So, the value of x is 9 and the value of y is 5
So, the first number is 9 and the second number is 5.
Chapter 6 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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