Answer:
What are two-step equations?
A two-step equation is an algebraic equation you can solve in two steps. Once you've solved it, you've found the value of the variable that makes the equation true.
Example 1
We're given an equation and asked to solve for
x
xx:
3
x
+
2
=
14
3x+2=143, x, plus, 2, equals, 14
We need to manipulate the equation to get
x
xx by itself.
3
x
+
2
=
14
3
x
+
2
−
2
=
14
−
2
3
x
=
12
3
x
3
=
12
3
x
=
4
3x+2
3x+2−2
3x
3
3x
x
=14
=14−2
=12
=
3
12
=4
The solution:
x
=
4
x=4start color #1fab54, x, equals, 4, end color #1fab54
It's always a good idea to check our solution in the original e
3
x
+
2
=
14
3
⋅
4
+
2
14
12
+
2
14
14
=
14
Yes!
3x+2
3⋅4+2
12+2
14
=14
=
?
14
=
?
14
=14 Yes!
Want to learn more about two-step equations? Check out this video.
Example 2
We're asked to solve this equation for
a
aa:
8
=
a
3
+
6
8=
3
a
+68, equals, start fraction, a, divided by, 3, end fraction, plus, 6
We need to manipulate the equation to get
a
aa by itself.
8
=
a
3