Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

The graph of the following system of equations is (4 points)

-2x + y = 3
4x + 2y = 2

a. overlapping lines
b. parallel lines
c. intersecting lines

Sagot :

[tex]\left\{\begin{array}{ccc}-2x+y=3\\4x+2y=2&|divide\ both\ sides\ by\ 2\end{array}\right\\\left\{\begin{array}{ccc}-2x+y=3&|add\ (-2x)\ to\ both\ sides\\2x+y=1&|subtract\ 2x\ from\ both\ sides\end{array}\right\\\left\{\begin{array}{ccc}y=2x+3\\y=-2x+1\end{array}\right\Rightarrow\ the\ slope \left\{\begin{array}{ccc}m=2\\m=-2\end{array}\right\ |different\\\\Conclusion:\ \boxed{\boxed{C}\ intersecting\ lines}[/tex]
Panoyin
-2x + 1y = 3 ⇒ 4x - 2y = -6
 4x + 2y = 2 ⇒ 4x + 2y = 2
                               -4y = -8
                                -4     -4
                                  y = 2
                      4x + 2(2) = 2
                          4x + 4 = 2
                                 -4  -4
                                4x = -2
                                 4      4
                                 x = -1/2
                             (x, y) = (-1/2, 2)
The answer to the problem is C. intersecting lines.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.