Question

Plz help. I’m trying but I can’t. Figure this one out. Mainly because the equations aren’t lined up accordingly with the variables

Answer 1

x = 2

y = 1

z = 3

Explanation:

Okay, we know y=z-x.

Let's plug in that y-value into the first equation: x + 2 (z - x) -z =1

Simplify that down to x +2z -2x -z = 1

Equation 1 becomes -x + z = 1

Let's plug it into equation 3 and solve to get: 2x - (z - x) +3z = 12

Equation 3 becomes 3x + 2z = 12

Now let's use system of equations for those two equations we just found

3x + 2z = 12

-2x + 2z = 2 ------> multiplied this by 2 to simplify

subtract, and you 5x = 10, x = 2

Use x = 2 and solve for the other variables using the same method (try this on your own!) to get y = 1 and z = 3