For each equation find pairs of values for #(x,y)# that satisfy the equation. (If possible, try to find integer values since these will be easier to graph). Find at least 2 pairs for each equation (preferably 3 or more to validate the results)
#color(red)(5x-y=17)#
#color(white)("XXX"){:
(color(red)(underline(x)),color(red)(underline(y))),
(color(red)(4),color(red)(3)),
(color(red)(3),color(red)(-2)),
(color(red)(5),color(red)(8))
:}#
#color(green)(5x+6y=3)#
#color(white)("XXX"){:
(color(green)(underline(x)),color(green)(underline(y))),
(color(green)(3),color(green)(-2)),
(color(green)(-3),color(green)(3)),
(color(green)(-9),color(green)(8))
:}#
Plot each set of points on the Cartesian Plane and draw a line through the point for each set.
Since the lines for these equations intersect at a single point #(3,-2)# the equations are consistent.
