Question

3x-5y=-1 and x-y =-1​

Answer 1

Step-by-step explanation:

[Elimination method ]

3x - 5y = -1 -----> 1

x - y = -1 ------> 2

__________

[multiplying eqn. 2 with 3]

3x - 5y = -1

3x - 3y = -3

_________ [subtracting]

-2 y = 2

so, y = -2/2

y = -1

Substituting y= -1 in eqn. 2

x-(-1) = -1

x + 1 = -1

x = -1-1

x = -2

x = -2 and y = -1

Answer 2

Answer:

The solution of the given equations is

( x, y ) = ( - 2, - 1 ).

Step-by-step-explanation:

The given linear equations are

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

x - y = - 1

⇒ x = - 1 + y

⇒ x = y - 1

Now, by using this value in equation ( 1 ),

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

⇒ 3 ( y - 1 ) - 5y = - 1

⇒ 3y - 3 - 5y = - 1

⇒ 3y - 5y = - 1 + 3

⇒ - 2y = 2

⇒ y = - 2 / 2

⇒ y = - 1

By substituting y = - 1 in equation,

x = y - 1

⇒ x = - 1 - 1

⇒ x = - 2

∴ The solution of the given equations is

( x, y ) = ( - 2, - 1 ).