8)Solve the following pair of equations for x and y:64x+-=156x--=14And

1.	8)Solve the following pair of equations for x and y:64x+-=156x--=14And also find the value ofp such that y = px-2.and recasted into sma
Answer» 4x + 6/y=15...(i) 6x-8/y=14......(ii) Multiply equation (i) by 'y' on both sides, 4xy + 6 = 15y 4xy - 15y = -6.....(iii) Multiply equation (ii) by 'y' on both sides, 6xy - 8 = 14y 6xy - 14y = 8.......(iv)Multiplying equation (iii) by 3 and (iv) by 2, 12xy - 45y = -18 12xy -28y = 16- (-) (+) (-)------------------------- -17 y = - 34 Thus y = 2 Substituting y = 2 in equation (i), 4x + 6/2 = 15 4x = 12 Thus x = 3 Given that y = px - 2 Substitute the values of x and y 2 = p (3) - 23 p = 4 p = 4/3

8)Solve the following pair of equations for x and y:64x+-=156x--=14And also find the value ofp such that y = px-2.and recasted into sma

Answer»

4x + 6/y=15...(i)

6x-8/y=14......(ii)

Multiply equation (i) by 'y' on both sides,

4xy + 6 = 15y

4xy - 15y = -6.....(iii)

Multiply equation (ii) by 'y' on both sides,

6xy - 8 = 14y

6xy - 14y = 8.......(iv)Multiplying equation (iii) by 3 and (iv) by 2,

12xy - 45y = -18 12xy -28y = 16- (-) (+) (-)------------------------- -17 y = - 34

Thus y = 2

Substituting y = 2 in equation (i), 4x + 6/2 = 15

4x = 12

Thus x = 3

Given that y = px - 2

Substitute the values of x and y

2 = p (3) - 23 p = 4

p = 4/3