Answered

Discover the answers you need at Westonci.ca, a dynamic Q&A platform where knowledge is shared freely by a community of experts. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

y = 2 3 x − 5 y = −2x + 3 On a coordinate plane, 2 lines intersect at (negative 3, negative 3). She determined that the solution is (–3, –3). Is she correct? If not, explain why.

Sagot :

Given:

The two equations are:

[tex]y=\dfrac{2}{3}x-5[/tex]

[tex]y=-2x+3[/tex]

To find:

Whether (-3,-3) is a solution of the given equation or not.

Solution:

Table of values for [tex]y=\dfrac{2}{3}x-5[/tex],

x         y

0        -5

7.5      0

Plot the points (0,-5) and (7.5,0) on a coordinate plane and connect them by a straight line.

Table of values for [tex]y=-2x+3[/tex],

x         y

0        3

1.5      0

Plot the points (0,3) and (1.5,0) on a coordinate plane and connect them by a straight line.

From the below graph, it is clear that the graphs of both lines intersect each other at (3,-3). So, the solution of given equations is (3,-3) instead of (-3,-3).

Therefore, she is incorrect because the correct solution is (3,-3).

View image erinna
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.