x+y+6/20 = x/9 find x+y
Answers
Answer:
x+y
20
+
x−y
3
=7 and
x−y
8
−
x+y
15
=5
Medium
Solution
verified
Verified by Toppr
Correct option is A)
x+y
20
+
x−y
3
=7 ...(1)
x−y
8
−
x+y
15
=5 ...(2)
Multiplying eq(1) with 3 we get,
x+y
60
+
x−y
9
=21 ...(3)
Multiplying eq(2) with 4 we get,
x−y
32
−
x+y
60
=20 ...(4)
Adding eq(3) and eq(4), we get
x−y
41
=41=>x−y=41 ...(5)
Substituting x−y=41 in the eq(1), we get
x+y
20
+
1
3
=7=>
x+y
20
=4=>x+y=5 ... (6)
Adding eq(5) and eq(6), we get
2x=6=>x=3
Substituting x=3 in the eq(5), we get
3−y=1=>y=2
Answer:
Here is the answer
Step-by-step explanation:
x+y
20
+
x−y
3
=7 and
x−y
8
−
x+y
15
=5
Medium
Solution
verified
Verified by Toppr
Correct option is A)
x+y
20
+
x−y
3
=7 ...(1)
x−y
8
−
x+y
15
=5 ...(2)
Multiplying eq(1) with 3 we get,
x+y
60
+
x−y
9
=21 ...(3)
Multiplying eq(2) with 4 we get,
x−y
32
−
x+y
60
=20 ...(4)
Adding eq(3) and eq(4), we get
x−y
41
=41=>x−y=41 ...(5)
Substituting x−y=41 in the eq(1), we get
x+y
20
+
1
3
=7=>
x+y
20
=4=>x+y=5 ... (6)
Adding eq(5) and eq(6), we get
2x=6=>x=3
Substituting x=3 in the eq(5), we get
3−y=1=>y=2