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How do you solve this set of linear equation: #y - 5= 6x; y - 6x = - 1#?

Answer 1

There is no solution.

Each equation has a single #y# term. This is very useful to solve equations simultaneously. Write each equation with #y#as the subject..

#y = 6x+5 " and "y = 6x-1#

We now see that these are the equations of 2 straight lines. However, they have the same slope which means they are parallel, but have different y-intercepts.

Therefore they will never intersect, so there is no solution.

Equating the terms will show this:

If # y = y, " "# then #6x+5 = 6x-1#

Which leads to #5=-1" " rarr 0= -6#

This is obviously false and there is no variable.

There is no solution for x and y.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.