(-3,2)
1) To find that solution, i.e. a point that both lines have in common, let's solve it
y= -x +1
y=2/3x -4
2) Rearranging into standard form:
x+y=1 Multiply by -1
-2/3x +y= -4
-x-y=-1
-2/3x +y= -4
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-5/3x = -5 Multiply both sides by 3 to eliminate the fraction
-5x = -15
x=3
Plugging into the simpler equation y=-x+1
y= -3 +1
y=-2
3) So the answer is C (-3,2) the common point to both lines. Both lines pass through point( -3,2)