If (2, 3) and (4, 0) lie on the graph of the equation ax + by = 1. Find the value of a and
b. Plot the graph of the equation obtained

Asked by mayurtaware44wai | 28th Jun, 2020, 01:40: PM

Expert Answer:

begin mathsize 14px style If space left parenthesis 2 comma 3 right parenthesis space space and space left parenthesis 4 comma 0 right parenthesis space lie space on space the space graph space of space space equation space ax space plus space by space equals 1 comma space then space the space given space points space satisfy space the space equation space ax space plus space by space equals 1 Hence comma space substitute space the space values space of space straight x space and space straight y space as space in space coordinate space left parenthesis 2 comma 3 right parenthesis space in space equation space ax space plus space by space equals 1 ax space plus space by space equals 1 therefore 2 straight a space plus space 3 straight b space equals space 1 space space space... space open parentheses 1 close parentheses Substitute space the space values space of space straight x space and space straight y space as space in space coordinate space left parenthesis 4 comma 0 right parenthesis space in space equation space ax space plus space by space equals 1 ax space plus space by space equals 1 therefore 4 straight a space plus space 3 open parentheses 0 close parentheses space equals space 1 space space space therefore 4 straight a space equals space 1 therefore straight a space equals space 1 fourth space space space space space space... space open parentheses 2 close parentheses Substitute space straight a space equals space 1 fourth space in space space open parentheses 1 close parentheses 2 straight a space plus space 3 straight b space equals space 1 space therefore space 2 open parentheses 1 fourth close parentheses plus 3 straight b space equals space 1 therefore 1 half plus 3 straight b space equals space 1 comma space therefore 3 straight b space equals space 1 space minus 1 half equals 1 half space space therefore straight b space equals space 1 over 6 end style

Answered by Renu Varma | 28th Jun, 2020, 04:19: PM