Question

Substitution: X + 2y = 13 -2x - 3y = -18

Answer 1

Answer:

x = -3

y = 8

Step-by-step explanation:

x + 2y = 13    ------------(I)

    x  = 13 - 2y -----------(II)

-2x - 3y = -18 ----------(III)

Substitute x = 13 - 2y in equation (III)

   -2*(13 - 2y)  - 3y = -18

-2*13 - 2y *(-2) -3y = -18

  -26  + 4y  - 3y    = -18             {Combine like terms}

               -26 + y =  -18     {Add 26 to both sides}

                         y = -18 + 26

                         y = 8

Substitute y = 8 in equation (II)

x = 13 - 2*8

  = 13 - 16

x = -3

x = -3

y = 8