Question

5x + 3y = 17
x + 3y = -1
doy corona plissss

Answer 1

Step-by-step explanation:

5x + 3y = 17

x + 3y = -1

-__________

4x = 18

x = 18/4 = 9/2

y = (- 1 - 9/2)/3

= (-11/2)/3

= - 11/6

Answer 2

Answer:

The solution of the given equations is ( x, y ) = ( 9 / 2, - 11 / 6 ).

Step-by-step-explanation:

The given linear equations are

5x + 3y = 17 - - - ( 1 ) &

x + 3y = - 1

⇒ x = - 1 - 3y

⇒ x = - 3y - 1 - - - ( 2 )

By substituting equation ( 2 ) in equation ( 1 ),

5x + 3y = 17 - - - ( 1 )

⇒ 5 ( - 3y - 1 ) + 3y = 17

⇒ - 15y - 5 + 3y = 17

⇒ - 15y + 3y = 17 + 5

⇒ - 12y = 22

⇒ y = - 22 / 12

⇒ y = - 11 / 6

By substituting y = - 11 / 6 in equation ( 2 ),

x = - 3y - 1 - - - ( 2 )

⇒ x = - 3 ( - 11 / 6 ) - 1

⇒ x = ( 3 * 11 / 6 ) - 1

⇒ x = ( 11 / 2 ) - 1

⇒ x = ( 11 - 2 ) / 2

⇒ x = 9 / 2

∴ The solution of the given equations is ( x, y ) = ( 9 / 2, - 11 / 6 ).