Chapter 8, Problem 53SGR

To determine

To write: a system of equations to represent the given situation.

Answer to Problem 53SGR

The solution of the equations is: (5,4).

Explanation of Solution

Given:

Consider that sum of two numbers is 9 and difference is 1.

Calculation:

Consider that two numbers are x and y

Sum of two numbers is 9 means $x+y=9$

And, difference of two numbers is 1 means $x-y=1$

Thus, the two equations are: $x+y=9$ and $x-y=1$ .

The graph of the equations is as follows:

  

Since, the graph intersects at a point.

Therefore, the solution of the equations is: (5,4).

The point (5,4) means that two numbers are 5 and 4 whose sum of 9 and difference is 1.

Conclusion:

Therefore, the solution of the equations is: (5, 4).