Question

Find the solution for this system of equations.
2x − 3y = 2
x = 6y − 5

x =

y =

Answer 1

Answer:

x=3

y=$\frac{4}{3}$

Step-by-step explanation:

1. Substitute x=6y-5 into 2x-3y=2.

     Start with the original equation:

         2x-3y=2

     Let x=6y-5:

         2(6y-5)-3y=2

     Simplify:

         9y-10=2

2 . Solve for y in 9y-10=2

      Add 10 to both sides:

          9y=2+10

      Simplify 2+10 to 12:

          9y=12

      Divide both sides by 9:

          y=$\frac{12}{9}$

      Simplify 12/9 to 4/3:

          y=$\frac{4}{3}$

3. Substitute y=$\frac{4}{3}$ into x=6y-5

        Start with the original equation:

               x=6y-5

        Let y=$\frac{4}{3}$.

              x=6×$\frac{4}{3}$-5

        Simplify:

             x=3

4. Therefore,

x=3

y=$\frac{4}{3}$