Question

Which graph represents the solution to the given system?

–2x + 5y = –10 and –3x + 5y = –20
(1 point)
Responses

A coordinate plane with two linear equations graphed. The intersection of the lines is the point 10, 2.The first line passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and just above left-parenthesis 10 comma 2 right-parenthesis. The second line passes through the points left-parenthesis zero comma negative 4 right-parenthesis and just above left-parenthesis 10 comma 2 right-parenthesis. The lines intersect at the point left-parenthesis 10 comma 2 right-parenthesis.
Image with alt text: A coordinate plane with two linear equations graphed. The intersection of the lines is the point 10, 2. The first line passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and just above left-parenthesis 10 comma 2 right-parenthesis. The second line passes through the points left-parenthesis zero comma negative 4 right-parenthesis and just above left-parenthesis 10 comma 2 right-parenthesis. The lines intersect at the point left-parenthesis 10 comma 2 right-parenthesis.

A coordinate plane with two linear equations graphed. The intersection of the lines is the point 2, negative 2.8.The first line passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis 5 comma negative 4 right-parenthesis. The second line passes through the points left-parenthesis zero comma negative 4 right-parenthesis and left-parenthesis 5 comma negative 1 right-parenthesis. The lines intersect at the point left-parenthesis 2 comma negative 2.8 right-parenthesis.
Image with alt text: A coordinate plane with two linear equations graphed. The intersection of the lines is the point 2, negative 2.8. The first line passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis 5 comma negative 4 right-parenthesis. The second line passes through the points left-parenthesis zero comma negative 4 right-parenthesis and left-parenthesis 5 comma negative 1 right-parenthesis. The lines intersect at the point left-parenthesis 2 comma negative 2.8 right-parenthesis.

A coordinate plane with two linear equations graphed. The intersection of the lines is the point 6, 0.4.The first line passes through the points left-parenthesis 0 comma 4 right-parenthesis and left-parenthesis 10 comma negative 2 right-parenthesis. The second line passes through the points left-parenthesis zero comma negative 2 right-parenthesis and left-parenthesis 10 comma 2 right-parenthesis. The lines intersect at the point left-parenthesis 6 comma 0.4 right-parenthesis.
Image with alt text: A coordinate plane with two linear equations graphed. The intersection of the lines is the point 6, 0.4. The first line passes through the points left-parenthesis 0 comma 4 right-parenthesis and left-parenthesis 10 comma negative 2 right-parenthesis. The second line passes through the points left-parenthesis zero comma negative 2 right-parenthesis and left-parenthesis 10 comma 2 right-parenthesis. The lines intersect at the point left-parenthesis 6 comma 0.4 right-parenthesis.

A coordinate plane with two linear equations graphed. The intersection of the lines is the point 2, 2.8.The first line passes through the points left-parenthesis 0 comma 2 right-parenthesis and left-parenthesis 5 comma 4 right-parenthesis. The second line passes through the points left-parenthesis zero comma 4 right-parenthesis and left-parenthesis 5 comma 1 right-parenthesis. The lines intersect at the point left-parenthesis 2 comma 2.28 right-parenthesis.
Image with alt text: A coordinate plane with two linear equations graphed. The intersection of the lines is the point 2, 2.8. The first line passes through the points left-parenthesis 0 comma 2 right-parenthesis and left-parenthesis 5 comma 4 right-parenthesis. The second line passes through the points left-parenthesis zero comma 4 right-parenthesis and left-parenthesis 5 comma 1 right-parenthesis. The lines intersect at the point left-parenthesis 2 comma 2.28 right-parenthesis.
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Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

The correct response is:

A coordinate plane with two linear equations graphed. The intersection of the lines is the point 10, 2. The first line passes through the points (0, -2) and (10, 2). The second line passes through the points (0, -4) and (10, 2). The lines intersect at the point (10, 2).

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