Find (or predict) the intersections of the following planes:

Question

A) x-2y+5z=10

2x + y = 10

B)4x+y-z

x-z=-12

2x+y+z=4

Please include steps and answers

Answer 1

x - 2y + 5z = 10

2x + y = 10

x - 2y + 5z = 10

4x + 2y = 20

5x + 5z = 30

x + z = 6

z = 6 - x

y = 1`0 = 2x

Substitute for the y and z and determine x, then y and z.

Use this as a model for the second system.