Math Help - Intersection of two lines

1. Intersection of two lines

Just checking I'm not going crazy:

Find the point of intersection of the lines $y_1 = -2x + 5, y_2 = 5x - 3$. I have tried to deduce by saying that where the lines intersect, their y values will be identical, and so the difference of the two must equal 0:

$0 = y_1 - y_2 = -7x + 8$

Therefore,

$x = \frac{8}{7}$

I can obviously plug x into one of the above equations to get the y value for the intersection. Is $x = \frac{8}{7}$ correct? The answer in my book gives the reciprocal of this, but I have gone over solving the equation -7x + 8 several times and I still get the same result.

2. You are correct.

3. Thanks. This is one seriously misprinted book.

4. Originally Posted by rowe
Thanks. This is one seriously misprinted book.
That can happen. Kudos to you for checking to be sure!