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Fudgin [204]
1 year ago
14

5. Solve the system of equations by graphing. y = -x + 2 3x + 3y = 6

Mathematics
1 answer:
Gelneren [198K]1 year ago
6 0

Answer:

The system of equations has infinite number of solutions.

The solution to the system of equations is any point on the line of the graph.

Explanation:

Given the system of equations;

\begin{gathered} y=-x+2 \\ 3x+3y=6 \end{gathered}

Plotting the two equations using a graph calculator we have;

From the graph, we can observe that the line of the two equations fall on each other.

That means that the equations are the same.

Therefore, the system of equations has infinite number of solutions.

The solution to the system of equations is any point on the line of the graph.

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Step-by-step explanation:

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3 years ago
which description best describes the solution to the following system of equations y= -2x +3 y= -x + 1
marin [14]
For this case we have the following system of equations:
 y = -2x +3

y = -x + 1
 Equating the values of y we have:
 -2x +3 = -x + 1

 From here, we can clear the value of x.
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 -2x + x = 1 - 3

-x = -2

x = 2
 Then, we look for the value of y.
 For this, we substitute x in any of the equations:
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y = -2 + 1

y = -1
 Answer:
 
The ordered pair solution of the system of equations, is given by:
 
(x, y) = (2, -1)
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\rule{150pt}{2pt}

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