The expression ax + by has value 2 if x = 2 and y = 1. It has value 10, if x = 1 and y = -1
find a and b
Answers
Answered by
2
Answer:
a=4 and b=-6
Step-by-step explanation:
given ax+by=2 when x=2 and y=1
⇒a(2)+b(1)=2
2a+b=2....................................................equation 1
and ax+by=10 if x=1 and y= -1
⇒a(1)+b(-1)=10
⇒a-b=10...................................................equation 2
on solving equations 1 and 2 we get
a=4 and b=-6
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Answered by
1
CASE-1 : When x= 2 and y= 1
We know,
ax + by = 2
putting values of x and y as 2 and 1 respectively
we get
2a + b = 2 .............(1)
CASE-2: When x= 1 and y= -1
We know,
ax + by = 10
putting values of x and y as 1 and -1 respectively
we get
a - b = 10 .............(2)
Now adding both equations (1) and (2)
2a + b + a - b = 2 + 10
=> 3a = 12
=> a= 4
=> b= -6
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