How to use elimination to solve the system of equations


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Use elimination to solve the system of equations

Answered by admin @



Solution:

There are Infinitely many solutions.

Explanation:

We have been given the system of equations

3x+2y=7.......(1)\\\\-9x-6y=-21......(2)

In elimination method, we multiply any of the equation by some constant and then add/subtract the equations to eliminate any variable x or y.

Let us multiply equation 1 by 3

9x+6y=21.......(3)\\\\-9x-6y=-21......(4)

Add equations 3 and 4, we get

9x-9x+6y-6y=21-21\\\\0=0

We got 0=0, which is always true.

Hence, there are Infinitely many solutions.

C is the correct option.



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