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
 
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Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...

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