Please only answer if you know I’ll give 15 points and brainliest
2 answers:
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<h3>Answer: B. (3,-2)</h3>
There are two ways to confirm this is the answer. The first is to note that (3,-2) is on the boundary, so it is part of the solution set. This only works if the boundary line is a solid line (as opposed to a dashed or dotted line).
The second way is to plug (x,y) = (3,-2) into the given inequality to find that
which is a true statement. So this confirms that (3,-2) is in the solution set of the inequality.
The process is to go step-by-step to isolate the y.
To do this, you basically run the order of operations in reverse.
In 5x+2y=10, the first thing to move away from the left side is 5x and you cancel it out by subtracting 5x from both sides:
5x+2y - 5x = 10 - 5x
The 5x's on the left cancel leaving you with:
2y = 10 - 5x
Side note: this is more commonly written as 2y = -5x+10, since we tend to write variable terms first.
Finally, to get the y fully by itself, you need to cancel the 2 that's multplied against it. To cancel multiplication, you need to divide:
The most important thing to remember here is that the 2 needs to divide into both terms on the right:
Finally, we simplify this into: