Question

Use the graph to estimate the solution to the system of equations shown.

A. x=5 1/2, y= 3 1/4
B. x= -3 1/2, y= -5 1/4
C. ×= 3 1/2, y= 5 1/4
D. x= -5 1/2, y= -3 1/4
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Answer 1

Answer: D. x= -5 1/2, y= -3 1/4

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Step-by-step explanation:

The solution occurs where the two lines intersect. From this intersection point, draw a vertical line upward until you reach the x axis. We arrive somewhere between -5 and -6. A good estimate is to say that we're at the midpoint, so x = -5 & 1/2 is one possible estimate

Since only choice D has this x value, this must mean choice D is the answer. The y coordinate of y = -3 & 1/4 seems to fit as well since we can draw a horizontal line from the point of intersection to the y axis, and arrive somewhere just a little below -3.