please help. I know it\'s a lot but that\'s why I offered 750 points. Determine

Question

please help. I know it's a lot but that's why I offered 750 points.

Determine if the following systems of equations can be solved; if yes. solve them: x + y = z (x + y)2 = 5z 3x2 = 27 yw = 40 x2 + 2xy + y2 ? 3 6 = 0 zx + x = 8 z2 - 6z + 9 = 0 4x + 2y + z = 1 wx + z =4 w + y =12 From the results of C or from your memory of algebra, what is the rule that governs which systems of equations can or can't be solved? More information is give for the system in problem (3Cii). Now can the system be solved? Why or why not? 4x + 2y + z = 1 wx + z =4 w + y =12 (w + y)2 =144

Explanation / Answer

for part ii) there are two sets of solutions

x=2, y=4, z=3, w=10

x=2, y=-8, z=3, w=-5

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