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

1 Answer
EZ as pi
Oct 24, 2016

There is no solution.

Explanation:

Each equation has a single y term. This is very useful to solve equations simultaneously. Write each equation with yas 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 →0=−6

This is obviously false and there is no variable.

There is no solution for x and y.

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