Solution : 3x + 2y = 29. . . (I) and 5x - y = 18 . . . (II)
Let’s solve the equations by eliminating ’y’. Fill suitably the boxes below.
Multiplying equation (II) by 2.
\ 5x ´ - y ´ = 18 ´
\ 10x - 2y = . . . (III)
Let’s add equations (I) and (III)
3x + 2y = 29
+ - =
= \ x =
Substituting x = 5 in equation (I)
3x + 2y = 29
\ 3 ´ + 2y = 29
\ + 2y = 29
\ 2y = 29 -
\ 2y = \ y =
(x, y) = ( , ) is the solution.
Ex. (3) Solve : 15x + 17y = 21; 17x + 15y = 11
Solution : 15x + 17y = 21. . . (I)
17x + 15y = 11 . . . (II)
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Answer:
15x+17y=12 ;17x+15y=11
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