X - 2y = 5 -3x + 3y = 7 solve the following system of equations

   (⁻ ²⁹/₃ , ⁻ ²²/₃ )

Step-by-step explanation:

let x - 2y = 5  be [a]   &   -3x + 3y = 7 be [b]

First, lets make x the subject of [a] and then substitute [a*] into [b] and solve for y

           x - 2y = 5   [a]

          x = 5 + 2y    [a*]

          -3 (5 + 2y) + 3y = 7

            - 15 - 6y + 3y = 7

                           -3y = 22

                               y =  - ²²/₃

Now, since y =  - ²²/₃, we can substitute for y in [a*]

      ⇒   x = 5 + 2(- ²²/₃)

            x = 5 + ⁻⁴⁴/₃

            x = ⁻ ²⁹/₃

∴ the solution for the system of equations is x = ⁻ ²⁹/₃ , y = - ²²/₃  OR  (⁻ ²⁹/₃ , ⁻ ²²/₃ )

answer: ask

step-by-step explanation: