I need help with this one
1 answer:
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Answer:
D) (0, -3)
Step-by-step explanation:
The solution of two linear equations is the point of intersection of their graphs.
From the graph, the point of intersection of the graphs of the two linear equations is on the y-axis. So, the value on the
axis is always 0. Also, the point is below the x-axis. So, the
value of the point will be negative.
From the choices given, only (0,-3) matches the above conditions.
Therefore, the correct choice is D. (0, -3).
Option D: Graph C is the solution to the system of linear inequalities.
Explanation:
The system of linear inequalities are and
Let us graph the inequality
Let us substitute the coordinate in the inequality
, we get,
This is false. Hence, the solution does not contain the coordinate
Thus, let us shade the upper part of the line in the graph.
Similarly, let us substitute the coordinate in the inequality
, we get,
This is false. Hence, the solution does not contain the coordinate
Thus, let us shade the lower part of the line in the graph.
The solution to the system of linear inequality is the intersection of the two regions.
Thus, the solution of the inequality is Graph C.
Hence, Option D is the correct answer.