Question

x + y = 5
--------------
3x + z = 2
--------------
4y – z = 8

x=?
y=?
z=?

Answer 1

Can you re-post each equation on separate lines please?

Answer 2

Hmmm, maybe you should post your question in this part or use the draw button. It's still not showing up right.

Answer 3

x + y = 5
3x + z = 2
4y - z = 8

Answer 4

Is that it?

Answer 5

Yes, then find what x,y and z are.

Answer 6

All you have to do is use substitution

Answer 7

Isolate a variable in one of the equations

Answer 8

you can also use elimination here....get rid of "z" variable by adding 2nd and 3rd equations
3x +0y +z = 2
0x +4y -z = 8
______________
3x +4y = 10

Now you have system of 2 equations with 2 variables, eliminate either "x" or "y"
x + y = 5
3x + 4y = 10

Answer 9

A: x + y = 5
B: 3x + z = 2
C: 4y - z = 8

Cancel z using sum of B with C:
3x + z + 4y -z = 2 + 8
3x + 4y = 10

Now, isolate y:
3x + 4y = 10
4y = 10 - 3x
y = (10 - 3x) / 4

Replace y in A:
x + (10 - 3x) / 4 = 5
(4x + 10 - 3x) / 4 = 5
(x + 10) / 4 = 5
x + 10 = 5 * 4
x + 10 = 20
x = 20 - 10
x = 10

We get x, so now use the value of x to get y using A:
x + y = 5
10 + y = 5
y = 5 - 10
y = -5

Now use the value of x to get z using B:
3x + z = 2
3*10 + z = 2
30 + z = 2
z = 2 - 30
z = -28

Check the answer using A,B and C:
A: x + y = 5
10 + (-5) = 5
10 -5 = 5
5 = 5 (CORRECT)

B: 3x + z = 2
3*10 + (-28) = 2
30 - 28 = 2
2 = 2 (CORRECT)

C: 4y - z = 8
4*(-5) - (-28) = 8
-20 + 28 = 8
28 - 20 = 8
8 = 8 (CORRECT)