Question

solve the following simultaneous equations 1. 3x -5y=16; X =3y =8​

Answer 1

Step-by-step explanation:

3x - 5y = 16 (1)

x - 3y = 8 (2)

Multiplying eqn. (2) by 3

3x - 9y = 24 (3)

Subtracting equation (1) from (3)

3x - 9y = 24

- 3x - 5y = 16

(-) (+) (-)

= -4y = 8

y = 8/-4

y = -2

Substituting y = -2 in equation (2)

x - 3y = 8

x - 3(-2) = 8

x + 6 = 8

x = 8 - 6

x = 2

( x , y ) = ( 2 , -2 )

Answer 2

3x-5y=16--(1)

x=3y=8

putx=3y

3x3y-5y=16-8

9y-5y=8

4y=8

y=8/4

y=2

put y=2 equation(1)

3X-5x2=16

3X-10=16

3X=16-10

3X=6

X=6/3

X=2

X=2, Y=2