Question

The system of equations is graphed in the figure.

Answer 1

Answer:  The correct answer is:  [C]:

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              →    " ( 3, -2) " .

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Explanation:

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By looking at the graph {provided) of the lines of the 2 (two) equations given, we see that the two (2) lines intersect at the point at which the coordinates are:   " (3, -2)" ;  that is:  where:  " x = 3;  y = - 2 " ;  (refer to "image attached");

  →  which corresponds to:

 

  →  Answer choice:  [C]: " (3, -2) " .

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Let us check our answer, by plugging in "3" for "x" ; and "-2" for "y" ;

  in Each of the 2 (two) equations given; to see if the equations hold true:

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Equation 1:

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  y = (-5/3)x  + 3  ;

 →  -2  =? (-5/3)*3  + 3 ?  

 →  -2  =?  -5  + 3 ? ;    -2 =? -2 ?  Yes!

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Equation 2:

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 y = (1/3)x -3 ;

→  -2 =? (1/3)*3  - 3 ? ;

→  -2 =?  1 - 3 ?  ;    -2 = ? -2 ?  Yes!

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Both equations hold true when:  "x = 3 ;  and y = -2 " .

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Refer to image attached to see where the lines of the graphs of the equations given intersect.

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Hope this answer is helpful to you!

  WIshing you the best!

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