Greatest common factor of 69 and 46

2 answers:

4 0

$Greatest\ common\ factor\ is\ the\ highest\ number\ by\ witch\ 69\ and\ 46\\can\ be\ divided\\\\
69:3\\
23:23\\\\46:2\\23:23
\\\\GCF=23\\\\Greatest\ common\ factor\ of\ 69\ and\ 46 \ is\ equal\ to\ 23.
$

MatroZZZ [7]4 years ago

4 0

The answer is 23

69 =23x3
46=23x2

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Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we

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⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
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divide both sides by 3
3
x
3
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3
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substitute this value in
(
1
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−
2
As a check
substitute these values into
(
2
)
right
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3
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2
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