Question

if the system of equations ax+4y≈32 and 2by+15x≈96 has infinite solutions find (a+b) ​

Answer 1

Step-by-step explanation:

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Answer 2

Given :-A pair of linear equations ax+4y=32 & 2by +15x=96 has infinite solutions. Proof :-ax+by=32 i.e ax+by-32=0 & 2by+15x=96 i.e 2by +15x-96=0 Here, a1=a,a2=2b,b1=4,b2=15,c1=-32 & c2=-96 According to the question :-a1/a2=b1/b2=c1/c2( As the pair of linear equation has infinitely many solutions) a/2b=4/15=-32/-96 =>a/2b=1/3

=>a=3 & 2b=1 i.e b=1/2 =>(a+b)=3+1/2=7/2 (This is the required answer.) [If you liked my answer then please mark me as brainliest and I will definitely follow you back.]