A system of linear equations is graphed.Which ordered pair is the best estimate for the solution to the system?A) ([tex] \frac{1}{2} [/tex], 1) B) ([tex] \frac{1}{3} [/tex], 0)C) (1,1) D) ([tex] \frac{1}{2} [/tex], 0) (this graph was also provided in the question)
Question
Answer:
The solution of a system, in graphic terms, is where the lines intersect. Ordered pairs follow this form (x,y). Note that all x values are on the horizontal line (think of running when you think of x) and all y values are on the vertical line (think of jumping when you think of y).According to the graph, y is 0 since the inserect is directly on the x-axis. So (-,0). Cross out A and C because these answer choices do not have '0' as their y-value. This leaves (1/2,0) or (1/3,0). The answer that seems most likely is D. 0.5 (1/2) is closer to 1, and can rounded to 1, opposed to 0.3 (rounded 1/3) The point of solution seems close to one.
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