A system of equations is graphed on a coordinate plane. Which coordinates are the best estimate of the solution to the system of
equations? (2, 3) (1, 2) (2, 2) (2, 4)
2 answers:
we have
---> equation A
---> equation B
we know that
The solution of the system of linear equations is the intersection point both graphs
Multiply the equation A by both sides
------> equation C
Adds equation B and equation C
Find the value of y
substitute in the equation A
therefore
the answer is
The best estimate of the solution to the system of equations is the point
You might be interested in
Answer:
Explanation:we will solve this question with help of linear programming.
Now, let Ben goes x times in buffalo trip and goes y times in Philadelphia trip. Thus, according to the question, Min Z= 180x+300y
And s.t.r. 2x+3y≤105, where x≥5, y≥15.
since at (0,0) 0≤105(true), so area of 2x+3y≤105 will cover the origin.
But, 0≥5 and 0≥15 are false, so their area will not cover the origin.
Thus, after drawing the graph of these three lines we will get a feasible reason of triangle ABC, where point A≡(5,31.667), B≡(5,15), and C≡(30,15)
Z at A- 180×5+300×31.667=10,400.1
at B-180×5+300×15=1350( which is minimum.)
at C- 180×30+300×15=5,850
Thus, Ben should go 5 times to buffalo trip and 15 times to Philadelphia to minimize his cost which is $1350.
