MHB Solve Simultaneous Equations y=2x²+3x-31 & y=21-2x

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To solve the simultaneous equations y=2x²+3x-31 and y=21-2x, equate the right-hand sides to find x. The discussion emphasizes the importance of understanding the calculations rather than simply receiving the answer. A suggestion was made to work through the problem independently for better learning. Participants encourage engagement with the problem to enhance comprehension. Ultimately, solving these equations requires careful substitution and algebraic manipulation.
ladybutterz
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y=2x²+3x-31
y=21-2x
solve for x and y
 
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Equate the right-hand sides.
 
Evgeny.Makarov said:
Equate the right-hand sides.
yea but i really need help don't really understand need to see the calculation to understand it properly
 
ladybutterz said:
y=2x²+3x-31
y=21-2x
solve for x and y

I have moved this topic as it is a better fit here in the Pre-Algebra and Algebra sub-forum.

The suggestion given by Evgeny.Makarov is an excellent one, and you should be able to make at least some progress with it. If he does it for you, you will learn less than if you attempt it yourself. :D
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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