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# Equations, point of intesection, plane of intersection

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14) Solve the following system of equations
x1 - 3 x2 =5
-x1 + x2 + 5 x3= 2
x2 + x3 =0

15) Determine if the system is consistent. Do not completely solve
x1 + 3 x3 =2
x2-3x4 =3
-2x2+ 3x3 + 2 x4= 1
7 x4= -5

17) Do the three lines x1 -4 x2 = 1, 2 x1 -x2 = -3, - x1 -3 x2 =4 , have a common point of intersection? Explain

18) Do the three planes x1+ 2 x2+ x3 = 4 , x2 -x3 = 1, x1+ 3 x2= 0, have at least one common point of intersection? Explain

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