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Example Questions
Example Question #34 : Whole Numbers
What is the solution of for the two systems of equations?
We first add both systems of equations.
Left Hand Side:
Right Hand Side:
Our resulting equation is:
We divide both sides by 3.
Left Hand Side:
Right Hand Side:
Our resulting equation is:
Example Question #32 : Whole Numbers
What is the solution of for the two systems?
We first multiply the second equation by 4.
So our resulting equation is:
Then we subtract the first equation from the second new equation.
Left Hand Side:
Right Hand Side:
Resulting Equation:
We divide both sides by -15
Left Hand Side:
Right Hand Side:
Our result is:
Example Question #11 : How To Find The Solution For A System Of Equations
Find the solutions for the following set of equations:
If we multiply both sides of our bottom equation by , we get
. We can now add our two equations, and eliminate
, leaving only one variable. When we add the equations, we get
. Therefore,
. Finally, we go back to either of our equations, and plug in
so we can solve for
.
Example Question #2451 : Algebra 1
Give the solution to the system of equations below.
No solution
Solve the second equation for , allowing us to solve using the substitution method.
Substitute for in the first equation, and solve for
.
Now, substitute for in either equation; we will choose the second. This allows us to solve for
.
Now we can write the solution in the notation , or
.
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