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abruzzese [7]
4 years ago
10

Which graph represents the solution set to this system of equations? Y=-1/2x+3 and y= 1/2x-1

Mathematics
2 answers:
Juliette [100K]4 years ago
7 0
Hey there, I hope I can be of assistance today!
While there are no graphs, I can provide you with the graph to answer your question assuming you have choices of graphs!

Hope this helps!

Bingel [31]4 years ago
4 0

Answer:

The graph is attached.

Step-by-step explanation:

We have been given a system of two equations. We are asked to find the graph that represents the solution set to this system of equations.

y=-\frac{1}{2}x+3...(1)

y=\frac{1}{2}x-1...(2)

First of all, we will find the solution of both equations by equating them as:  

\frac{1}{2}x-1=-\frac{1}{2}x+3

\frac{1}{2}x+\frac{1}{2}x-1=-\frac{1}{2}x+\frac{1}{2}x+3

\frac{1+1}{2}x-1=3

\frac{2}{2}x-1=3

x-1=3

x-1+1=3+1

x=4

Upon substituting x=4 in equation (1), we will get:

y=-\frac{1}{2}(4)+3

y=-2+3

y=1

Since the solution of our given system is (4,1), therefore, the both graphs will intersect at  (4,1).

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