Question

Y=2x+3 and y=3x-4 solve system by substitution show your work

Answer 1

Answer:

 x = 7

 y = 17

Step-by-step explanation:

Substitution method:

    y = 2x + 3 ---------------(I)

     y = 3x - 4 ----------------(II)

Substitute y = 3x - 4 in equation (I)

        3x - 4 = 2x + 3

 Add 4 to both sides

               3x = 2x + 3 + 4

               3x = 2x + 7

Subtract '2x' from both sides

          3x - 2x = 7

               $\sf \boxed{\bf x = 7}$

Substitute x = 7 in any one of the equation, Here I substituting in equation (I)

             y = 2x + 3

            y = 2*7 + 3

               = 14 + 3

            $\sf \boxed{\bf y = 17}$