1.

{{:(21x-6y=54),(9+y=3.5x):} The system of equations shown above has how many solutions ?

Answer»

Zero
ONE
Two
infinitely many

Solution :Get the two equations into the same format so that you can distinguish among these POSSIBILITIES:
` 21X -6y=54`
`3.5-y=9`
Now it's easier to see that the FIRST equation is equivalent to MULTIPLYING every term in the second equation by 6. Both equations describe the same line, so there are infinitely many solutions, (D) is correct.


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