Example 2: Solve the following pair equations by substitution method
7x-15y=2
x+2y=3
Answers
Answered by
2
Given equations are
7x−15y=2...(i)
x+2y=3....(ii)
from eq
n
....(ii),
x=3−2y....(iii)
On substituting x= 3 -2y in eq
n
(i) we get
⇒7(3−2y)−15y=2
⇒21−14y−15y=2
⇒21−29y=2
⇒−29y=−19
y=
29
19
Now on putting y=
29
19
in eq
n
(iii), we get
⇒x=3−2(
29
19
)
⇒x=3−
29
38
⇒x=
29
87−38
⇒x=
29
49
Thus, x=
29
49
and y=
29
19
is the required
Answered by
1
Step-by-step explanation:
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