2x+3y=8 9x-3y = 14
solve by substitution

x=2 and y=4/3

Step-by-step explanation:

To solve by substitution method, you want to solve for one variable, and plug it into the other equation.

Let's solve for y in 2x+3y=8.

                         [subtract both sides by 2x]

                          [divide both sides by 3]

Now that we have y, we can plug it into the second equation.

                        [plug in y]

                [multiply 3 and y to cancel out the 3]

               [distribute -1 to 8-2x]

                  [combine like terms]

                         [add both sides by 8]

                               [divide both sides by 11]

Since we know the value of x, we can substitute it back into any of the 2 equations to find y.

                          [plug in x=2]

                       [multiply 2 and 2]

                           [subtract both sides by 4]

                                 [divide both sides by 3]

Our final answer is x=2 and y=4/3.

answer:

step-by-step explanation: