Just checking I'm not going crazy:

Find the point of intersection of the lines $\displaystyle y_1 = -2x + 5, y_2 = 5x - 3$. 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:

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

Therefore,

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

I can obviously plug x into one of the above equations to get the y value for the intersection. Is $\displaystyle x = \frac{8}{7}$ 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.