Javier has a basket of oranges and apples. The number of oranges is 2 more than twice the number of apples in the basket. The di
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Answer:
The population will be at 65.45 in 2007.
Step-by-step explanation:
I graphed the equation below to find the answer.
If this answer is correct, please make me Brainliest!
There are three possible outcomes that you may encounter when working with these system of equations:
- one solution
- no solution
- infinite solutions
We are going to try and find values of x, y, and z that will satisfy all three equations at the same time. The following are the equations:
We are going to use elimination(or addition) method
Step 1: Choose to eliminate any one of the variables from any pair of equations.
In this case it looks like if we multiply the third equation by 4 and subtracting it from equation 1, it will be fairly simple to eliminate the x term from the first and third equation.
So multiplying Left Hand Side(L.H.S) and Right Hand Side(R.H.S) of 3rd equation with 4 gives us a new equation 4.:
4. 4x-20y-12z = 20
Subtracting eq. 4 from Eq. 1:
(L.HS) : 4x-2y+5z-(4x-20y-12z) = 18y+17z
(R.H.S) : 20 - 6 = 14
5. 18y+17z=14
Step 2: Eliminate the SAME variable chosen in step 2 from any other pair of equations, creating a system of two equations and 2 unknowns.
Similarly if we multiply 3rd equation with 3 and then subtract it from eq. 2 we get:
(L.HS) : 3x+3y+8z-(3x-15y-9z) = 18y+17z
(R.H.S) : 4 - 15 = -11
6. 18y+17z = -11
Step 3: Solve the remaining system of equations 6 and 5 found in step 2 and 1.
Now if we try to solve equations 5 and 6 for the variables y and z. Subtracting eq 6 from eq. 5 we get:
(L.HS) : 18y+17z-(18y+17z) = 0
(R.HS) : 14-(-11) = 25
0 = 25
which is false, hence no solution exists