Question

Two numbers have a sum of 88 and these two numbers have a difference of 20.

Use a system of Equations to find the two numbers.
1. Identify each variable. 2 points
2. Write each equation for the System.
3. Solve your System.
4. Write the solution as an ordered pair.

Answer 1

To solve the system of equations, we can use the method of elimination. By adding the two equations together, we can solve for one variable. Using this method, the two numbers are found to be 54 and 34.

Step-by-step explanation:

To solve this problem, we can start by assigning variables to the two numbers. Let's call them x and y.
From the information given, we can write two equations:
Equation 1: x + y = 88
Equation 2: x - y = 20
To solve this system of equations, we can use the method of elimination or substitution.
In this case, let's use the method of elimination. By adding the two equations together, the y term will cancel out:
(x + y) + (x - y) = 88 + 20
2x = 108
x = 108/2
x = 54
Substitute the value of x back into one of the original equations to solve for y:
y = 54 - 20
y = 34
The two numbers are 54 and 34. Therefore, the solution is (54, 34).