Question

find the values of a and b if the point (3,2) and (-1,-2) lie on the locus ax+by=5

Answer 1

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Answer 2

Answer:

The value of a is 5 and the value of b is -5.

Step-by-step explanation:

If (3,2) and (-1,-2) lie on the locus ax+by=5, then this equation must satisfy by these points.

$a(3)+b(2)=5$

$3a+2b=5$                     ..... (1)

$a(-1)+b(-2)=5$

$-a-2b=5$                      ..... (2)

Add (1) and (2),

$2a=10$

$a=5$

Put this value in equation (1).

$3(5)+2b=5$

$2b=5-15$

$2b=-10$

$b=-5$

Therefore the value of a is 5 and the value of b is -5.