Question

6x-3y=6 y=2x+5 USE SUBSTITUTION SHOW YOUR WORK

Answer 1

6x - 3y = 6 ⇒ 6x - 3y = 6 ⇒ 6x - 3y = 5
 y = 2x + 5 ⇒ 2x - 1y = 5 ⇒ 6x - 3y = 15
                                                  -6y = -10
                                                   -6      -6
                                                     y = 1 2/3
                                   6x - 3(1 2/3) = 6
                                             6x - 5 = 6
                                                  +5  +5
                                                   6x = 1
                                                    6     6
                                                     x = 1/6
                                               (x, y) = (1/6, 1 2/3)

Answer 2

What you're going to do is plug in y=2x+5 into the 3y ( getting rid of the y to solve for x only) so that gives you...... 6x-3(2x+5)=6. Next, you're going to multiply -3 to 2x and 5. Now it gives you..... 6x-6x-15=6. The x's cancel out leaving the equation with -15=6 making it an Inconsistent system also known as a No Solution system.