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The graph shows the system of equations below. 2 x minus 3 y = negative 6. y = negative one-third x minus 4 Which statement is supported by the graph? The blue line represents the equation and the solution to the system of equations is (–6, –2). The blue line represents the equation and the solution to the system of equations is ( –2, –6). The red line represents the equation and the solution to the system of equations is (2, –4). The red line represents the equation and the solution to the system of equations is (–4, 2).

User Armynante
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2 Answers

10 votes

the answer is 90 plus 90 joke

Explanation:

90

User Duncan Watts
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6 votes

Answer:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Here we have the system:

2x - 3y = -6

y = -(1/3)*x - 4

First, remember that if the slope is negative, then the equation is decreasing.

So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).

So the blue one represents the equation 2x - 3y = -6

Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)

This means that the solution of the system is (-6, - 2)

From this, we can see that the correct option is:

A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).

Explanation:

Hope this helps:)

User Ysf
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