Eliminating a Variable
Perform an operation on the given system that eliminates the indicated variable. Write the new equivalent system.
Eliminate the x-term from the second equation.
Hence after eliminating $x$ from the second equation, the new equivalent system is:
We are given the set of linear equations that is-
We have to eliminate x term from the third equation and then we have to write the new equivalent system.
Since we have to eliminate x from the second equation.
Thus we are going to add the second equation with 2 times the first equation.
We are adding the above equation with the second equation, we get
Now replacing the second equation with the new equation, we get the following equivalent system:
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