8x-3y=1;34x-3y=14 solve by substituting method .
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Answered by
1
Answer:
x=1/2 is the solution...
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Answered by
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Explanation:
Given:
[1]
XXX
8
x
−
3
y
=
3
[2]
XXX
4
x
+
2
y
=
10
If we note that the
x
term in [2] is a simple multiple of that in [1],
we have an easy way to eliminate the
x
term:
Multiply [2] by
2
and subtract the result from [1]
[1]
XXXXXXxX
8
x
−
3
y
=
3
-[2]
×
2
XX
−
(
8
x
+
4
y
=
20
−−−−−−−−−−−−
)
[3]
XXXXXXXXX
−
7
y
=
−
17
Dividing both sides by
(
−
7
)
[4]
XXX
y
=
17
7
Substituting
(
17
7
)
for
y
in [2]
[5]
XXX
4
x
+
34
7
=
70
7
[6]
XXX
4
x
=
36
7
[7]
XXX
x
=
9
7
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