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if the point A (3,5) and B ( 1,4) lie on the graph of the a x + by=7. find the values of a and b

Posted by Savitajain Jain 8 years, 11 months ago

CBSE > Class 09 > Mathematics

1 answers

Naveen Sharma 8 years, 11 months ago

Given that A(3, 5) and B(1, 4) lie on the graph of the line ax + by = 7 → (1)
Hence both the points satisfy the given equation
Put x = 3 and y = 5 in (1)

⇒ 3a + 5b = 7 ........ (2)

Similarly, B(1, 4) satisfy (1)
Put x = 1 and y = 4 in (1), we get
a + 4b = 7
Multiply above equation with '3', we get
3a + 12b = 21 ....... (3)

Subtract (2) and (3)

3a + 12b = 21
3a + 5b = 7
---------------
7b = 14
∴ b = 2
Put b = 2 in (2), we get

3a + 5(2) = 7
⇒ 3a = – 3
∴ a = – 1

0Thank You

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