Question:
Is the system of linear equations 2x 3y 9=0and 4x 6y 18=0 consistent
Answer:
Given, 2x + 3y + 9 = 0 ................1
and 4x + 6y + 18 = 0 .................2
Divide equation 2 by 2, we get
2x + 3y + 9 = 0 ................3
Now, equation 1 and 3 are same.
If there is only one equation and there are 2 variables, we can not find the values of these variables.
So, the given systems of equations are inconsistent.
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