Question

solve the simultaneous equation 8x -3y = 12 ,5x =2y +7

Answer 1

Here by elimination method we can solve both the equation
hence,x=3
y=4

Answer 2

8x - 3y = 12 _______( 1 )

5x = 2y + 7 _______( 2 )

On further solving ( 2 ), we get

5x - 2y = 7 _______( 3 )

Multiply ( 1 ) by 2

16x - 6y = 24 _______( 4 )

Multiply ( 3 ) by 3

15x - 6y = 21 _________( 5 )

Subtract ( 4 ) and ( 5 )

( 16x - 6y ) - ( 15x - 6y ) = 24 - 21

16x - 6y - 15x + 6y = 3

$<b><u>x = 3</b></u>$

Put this in ( 2 )

5 ( 3 ) = 2y + 7

15 = 2y + 7

2y = 15 - 7

2y = 8

y = 8 / 2

$<b><u>y = 4</b></u>$