| Example Solve for x and y , 3x - 4y = 10 5x - 3y = 24 Solution : 3x - 4y = 10 . . . (1) 5x - 3y = 24 . . . (2) From (1), by transposing , 3 x = 4 y + 10
Substituting this value of x in (2)
By multiplying both sides by 3, we get 5 (4y + 10) - 9y = 72
20y + 50 - 9y = 72 11y + 50 = 72 Transposing, 11 y = 72 - 50 1 y = 22 y = 2 Inserting y = 2 in (3) , we get
\ x = 6 is the required solution. Check : When x = 6 and y = 2
3 x - 4 y = 18 - 8 and 5 x - 3 y = 30 - 6 = 24
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7.1 Definition |
