Answer:
Step-by-step explanation:
5/y + 7/x =24.........(1)
12/y + 2/x =24........(2)
Let 1/y = a and 1/x = b
5a + 7b = 24 ...........(3)
12a + 2b = 24...........(4)
Multiply (3) by 2 and (4) by 7
10a + 14b = 48..........(5)
84a + 14b = 168.........(6)
Substracting (5) from (6)
84a - 10a = 168 - 48
74a = 120
a = 120/74
a = 60/37
Putting a = 60/37 in (3)
5a + 7b = 24
5(60/37) + 7b = 24
300/37 + 7b = 24
Multiply each term 37
300 + 259b = 888
259b = 888 - 300
259b = 588
b = 588/259
And a = 1/y
60/37 = 1/y
Cross multiply
60y = 37
y = 37/60
Also
b = 1/x
588/259 = 1/x
Cross multiply
588x = 259
x = 259/588
