I would appreciate any help thanks
select two intergers between
-12 and +12 write two equations that have the two intergers as solutions. solve the equation using addition/subtraction method
decide on some values for x and y , say,
x = -3, y = 5
now make up any two combinations for x and y
say,
1. 3x + 2y = .... evaluate this using our values for x and y
3(-3) + 2(5) = 1
so the first equation is 3x + 2y = 1
2. 4x - 3y = ....
4(-3) - 3(5) = -27
then 4x - 3y = -27
so 3x + 2y = 1 and
4x - 3y = -27 must have solutions x=-3, y=5
I will leave it up to you to actually solve it.
As you can see, there would be an infinite number of pairs of equations for just those two values I picked.
Of course you could have picked any other values of x and y.
Sure! Let's select the integers 5 and -3.
Equation 1: x + y = 5
Equation 2: x - y = -3
To solve these equations using the addition/subtraction method, we can add or subtract the equations to eliminate one variable and solve for the other.
Adding Equation 1 and Equation 2:
(x + y) + (x - y) = 5 + (-3)
2x = 2
x = 1
Now we substitute this value of x into any of the original equations. Let's use Equation 1:
1 + y = 5
y = 4
So the solution to the system of equations is x = 1 and y = 4.
Sure, I can help you with that!
To select two integers between -12 and +12, let's say we choose 5 and -8 as the two integers.
Now, let's write two equations that have these integers as solutions.
Equation 1: x + 8 = 0 (since -8 + 8 = 0)
Equation 2: x - 5 = 0 (since 5 - 5 = 0)
To solve these equations using the addition/subtraction method, we need to isolate the variable, which in this case is 'x'.
Let's solve Equation 1 first:
x + 8 = 0
To isolate 'x', we need to subtract 8 from both sides of the equation:
x + 8 - 8 = 0 - 8
x = -8
Therefore, the solution for Equation 1 is x = -8.
Now, let's solve Equation 2:
x - 5 = 0
To isolate 'x', we need to add 5 to both sides of the equation:
x - 5 + 5 = 0 + 5
x = 5
Therefore, the solution for Equation 2 is x = 5.
So, the solutions for the two equations are x = -8 and x = 5, respectively.