Question

None.

Answer 1

Since there are 3 unknown variables, the answers won't be specific numbers. Let's try the first one

Answer 2

z-2y + 3z=5

Solve for z.

Isolate your variable!

Answer 3

x=5
y=3
z=2

Answer 4

How did you get that? Please help explain..

Answer 5

You need to multiply/add/subtract these equations into a form that's useful. The Gauss or Gauss-Jordan method are easiest.

Answer 6

You manipulate them so that only one variable is left on each equation so that it's easy to solve.

Answer 7

First step for me would be to add together equations 1 and 3 and that would eliminate the x from the new equation.

Answer 8

Do you know matrices? B/c it would be easiest to just set these up as a matrix and RREF

Answer 9

Cramer's rule is also easy if you know matrices...

Answer 10

But Cramer's rule is more difficult to explain...

Answer 11

So if you add equations 1 and 3, that eliminates the x, then replace equation 3 with the new equation.
Next, you could multiply the new equation times 5 and add to equation 2, that would eliminate the y and you should be left with one equation with one variable.

Answer 12

If you don't then you need to do row operations and eliminate the variables