Question #f47ec
4 Answers
The key is to multiply one or both equations by values that will cause one variable to become zero.
Explanation:
In this example multiplying one of the equations by
When added they will equal
.Step
Step
Step
step
Explanation:
This means:
Now we substitute
We have:
Now we substitute
We can now substitute
Explanation:
The goal here is to solve for one variable by first eliminating one variable, hence, the elimination method.
Given:
We can eliminate the
This yields:
Now we solve for the variable
The next step is to find the value for the variable
We substitute
We now have the solutions
Equation 1:
Equation 2:
The values check out. The solution
You can learn more about this method here: http://www.montereyinstitute.org/courses/DevelopmentalMath/COURSE_TEXT2_RESOURCE/U14_L2_T2_text_final.html
Explanation:
The most important concept with the ELIMINATION method concerns ADDITIVE INVERSES.
Values which have the same number but opposite signs are called additive inverses. Their sum is
To eliminate one of the variables, create additive inverses.
Other contributors have eliminated
at the
Notice that the
Add the equations together:
That that you know the value for