the co-ordinate of the point of intersection of lines ax +by=9 and bx + ay= 5 is (3,-1). find the value of a and b .
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Answer:
a=4 ; b=3 pls mark as brainliest
Step-by-step explanation:
x=3. y=-1
ax+by=9
substituting the values
a(3)+b(-1)=9
3a-1b=9. ..........(1)
bx+ay=5
substituting the values
3b-1a=5 ........(2)
From (1)&(2)
3a-1b=9
-1a+3b=5
_________
2a+2b=14
2(a+b)=14
a+b=7
a=7-b......(3)
take any equation a substitute the above value
3a-1b=9
3(7-b)-1b=9
21-3b-1b=9
21-4b=9
-4b=-12
b=3....(4)
take equation (3)
a=7-b
a=7-3
a=4......(5)
From(4)&(5)
we get as ...
a=4;b=3
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