Answer:
First, we can write:
x
=
2
.
¯
3
Next, we can multiply each side by 10
giving:
10
x
=
23
.
¯
3
Then we can subtract each side of the first equation from each side of the second equation giving:
10
x
−
x
=
23
.¯
3
−
2
.
¯
3
We can now solve for x as follows:
10
x
−
1
x
=
(
23
+
0
.
¯
3
)
−
(
2
+
0
.
¯
3
) (
10
−
1
)
x
=
23
+
0
.
¯
3
−
2
−
0
.
¯
3
9
x
=
(
23
-2
)
+
(
0
.
¯
3
−
0
.
¯
3
)
9
x
=
21
+
0
9
x
=
21
9
x
/9
=
21
/9
9
x
/9
=
3
×
7
/3
×
3
x
=
3
×
7
/3
×
3
x
=
7
/3
Hope this helps!
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