Solve the system of equations graphically.3x + 2y = 4−x + 3y = −5
1 answer:
Answer: (2,-1).
Step-by-step explanation:
The given system of equations is
For , table of values is
x : 0 1 2
y : 2 0.5 -1
For , table of values is
x : -1 2 5
y : -2 -1 0
Plot these points on a coordinate plane and connect them be straight lines as shown below.
Form the graph it is clear that the lines intersect each other at (2,-1).
Therefore, the solution of given system of equations is (2,-1).
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Answer:
see below
Step-by-step explanation:
(a) the graph is symmetrical about the horizontal axis. It has a maximum value of r = 3 at θ = π.
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(b) The graph is symmetrical about both the horizontal and the vertical axis. It has a maximum value of r = 1 at θ = 0 and θ = π. (Note this curve has subtle differences from the inner loop of the above curve.)
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<em>About how</em>
As with any graphing problem, when doing it by hand, one chooses enough points to give the general shape of the curve. In some cases, quite a few points may be required. It is often helpful to use a spreadsheet for calculating the point values. Here, we've graphed the equations using "technology"--a graphing calculator.
