Question

solve the following pair of linear equations 3x-5y=4 and - 9x+2y=-7​

Answer 1

Elimination method:

3x-5y = 4 ---(1)

9x -2y = 7 ---(2)

multiply equation (1) by 3 , and subtract from equation (2), we get

9x-2y = 7

-

9x-15y = 12

______________

0 + 13y = -5

y = -5/13

Substitute y = -5/13 in equation (1) , we get

3x - 5(-5/13)=4

=> 3x +25/13 = 4

=> 3x = 4-(25/13)

=> 3x = (52-25)/13

=> x = 27/26

Therefore,.

x = 27/26, y = -5/13