Question

Solve the system by elimination:
6x+z=21
4x+6y=34
-5y+6z= -33

Answer 1

Let's solve for x.
6
x
+
z
=
21
Step 1: Add -z to both sides.
6
x
+
z
+
−
z
=
21
+
−
z
6
x
=
−
z
+
21
Step 2: Divide both sides by 6.
6
x
6
=
−
z
+
21
6
x
=
−
1
6
z
+
7
2
Answer:
x
=
−
1
6
z
+
7
2