I have to make two equations with the two integers {9, -3} and {2, 4}. The equations have to be done by the additon/ subtraction method and they have to become the solutions to a system, however, I do not know how to do that. Please help.
To solve a system of equations using the addition/subtraction method, you need to set up the equations using the given integers, treat them as variables, and then solve for the variables.
Let's start by assigning variables to the integers:
Let x be the first integer and y be the second integer.
So we have the following information:
First pair of integers: x = 9, y = -3
Second pair of integers: x = 2, y = 4
Now, we can set up two equations using these variables and solve them simultaneously:
Equation 1: x + y = 0
Equation 2: x - y = 6
To find the values of x and y, we'll use the addition/subtraction method:
Add Equation 1 and Equation 2:
(x + y) + (x - y) = 0 + 6
Simplifying the equation, we get:
2x = 6
Divide both sides of the equation by 2:
2x/2 = 6/2
x = 3
Substitute the value of x into Equation 1:
3 + y = 0
y = -3
So the solution to the system of equations is x = 3 and y = -3.
Therefore, the two equations using the given integers {9, -3} and {2, 4} and satisfying the solution to the system are:
Equation 1: x + y = 0
Equation 2: x - y = 6