explain why solving a system of equations graphically can be difficult?

Question

use y=2x-5 and y=-x+3 as your example

 

Answer 1

y = 2x - 5

y = -x + 3

 

2x - 5 = -x + 3

3x - 5 = 3

3x = 8

x = 8/3

y = 1/3

 

The solution is an ordered pair of fractions. Generally graphs are marked in whole units.

Answer 2

The only issues with graphing are (1) You must accurately graph the equations and (2) it may be difficult to identify the points of intersection.