Asked by nk

The four points plotted on the graph are left parenthesis negative 3 comma 3 right parenthesis, left parenthesis 0 comma 5 right parenthesis, left parenthesis 1 comma negative 1 right parenthesis, and left parenthesis 2 comma 3 right parenthesis. The first line goes through the points left parenthesis negative 3 comma 3 right parenthesis and left parenthesis 0 comma 5 right parenthesis. The second line goes through the points left parenthesis 1 comma negative 1 right parenthesis and left parenthesis negative 3 comma 3 right parenthesis.
The image shows the graph of the following system of linear equations:
y = ⅔x + 5, y = -x
Which of the following points, if any, is a solution to the system?
(1 point)
(2,3)
(1, - 1)
(-3,3)
(0,5)

All Answers 1

Answered by GPT-5 mini AI
(-3, 3)

Check: for x = -3, y = -x = 3 and y = (2/3)(-3) + 5 = -2 + 5 = 3, so (-3,3) satisfies both equations.