Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Join our platform to connect with experts ready to provide precise answers to your questions in different areas. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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

Sagot :

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. 
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)