Question:Solve the equations 7x + 3y = 9. . . . . . . . . . . . . . . . . . .(1) 11x - 5y =19. . . . . . . . . . . . . . . . . . .(2)
Answer Eliminate y from the questions. Multiply (1) by 5: 35x + 15y=45 Multiply (2) by 3: 33x - 15y=57 add: 68x =102 `:.` x = `102/68` =`51/34` =`3/2` =1`1/2` substitute x = 1`1/2` in the equation 7x + 3y = 9 7(1`1/2`) + 3y = 9 `:.` 10`1/2` + 3y = 9 `:.` 3y = 9 - 10`1/2` = - 1`1/2` `:.` y = -`1/2` Check. when x = 1`1/2` and y = - `1/2` 7x + 3y =7(1`1/2`) + 3(-`1/2`) = 10`1/2` - 1`1/2` = 9. 11x - 5y = 11(1`1/2`) - 5(-`1/2`)=16`1/2`+2`1/2` = 19
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Solve the equations 7x + 3y = 9. . . . . . . . . . . . . . . . . . .(1) 11x - 5y =19. . . . . . . . . . . . . . . . . . .(2)