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lukranit [14]
3 years ago
11

Which graph represents the solution to the given system? y = –2x + 5 and y = 3x – 2

Mathematics
2 answers:
Marysya12 [62]3 years ago
7 0
For this case we have the following system of equations:
 y = -2x + 5

y = 3x - 2
 The solution of the system of equations is given by the intersection of both functions.
 We have then that observing the graph the solution is given by:
 x = 7/5

y = 11/5
 Answer:
 
See attached image to observe the graph

DaniilM [7]3 years ago
4 0
Y = -2x + 5        y =3x - 2
Since both equations are equal to 'y' you can set them equal to each other to solve.
-2x + 5 = 3x - 2             Subtract 3x from both sides
-5x + 5 = -2                  Subtract 5 from both sides
-5x = -7                        Divide -5 on both sides
x = 7/5
Plug 7/5 back in for x and solve for y.
y = -2(7/5) + 5
y = (-14/5) + (25/5)
y = 11/5
(7/5, 11/5) OR (1.4, 2.2)


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However, when we multiplied them together, we get:

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Let's first consider what we can determine from this.

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If the y-intercept was 0, then the equation of our horizontal line will be:

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So, our answers are B and D.

And we're done!

Edit: Some (minor) errors in reasoning. Sorry!

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