Question

What is the value of x and y to the solution to this system of equations? 6x + y = -59 x = -2y +9​

Answer 1

Explanation:

Substitute x = -2y + 9 in the first equation to find y:

`6( - 2y + 9) + y = - 59`

Use the Distributive Property:

`- 12y + 54 + y = - 59`

`- 11y + 54 = - 59`

Subtract 54 from both sides:

`- 11y = - 113`

Divide each side by -11:

`y = 10 (3)/(11)`

Substitute y = 10 3/11 into the second equation:

`x = - 2(10 (3)/(11) ) + 9`

Multiply:

`x = - 20 (6)/(11) + 9`

`x = - 11(6)/(11)`

Solution point:

(-11 6/11, 10 3/11)

Answer 2

• The value of x =
  `\sf ( - 127)/(11)`

• The value of y =
  `\sf \: (113)/(11)`

For better understanding refer to the attachment!