A triangle is formed by the intersection of the lines 2x +3y = 14, 4x -5y = -16 and the x-axis. Find the area of the triangle.

I started by attempting to convert both given equations into slope intercept form, so I could begin to graph the lines

2x -2x +3y = 14 -2x

3y=-2x +14

3 3

y = -2x +4.666666667

3

4x -4x -5y = -16 -4x

-5y= -4x -16

-5 -5

y = -4x + 3.2

5

The y intercept, 4.666666667 is impossible to graph by hand and this is stopping me from going any further.

What am i doing wrong?