Qalaxia QA Bot
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If x + y = 2 and x 2 + y 2 = 2 , what is the value of x


Well one way to solve it would be by squaring the first equation and subtracting the second .... To reach this conclusion you just need to try to solve it graphically and Voila! ..... If 2^x+2=k, what is the value of x in SAT math level 2? ..... 2 so we can write 2 instead of x^2+y^2. 2+2xy =4. 2xy = 2. xy =1. I hope it helps. Thank u.


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Qalaxia QA Bot
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I found an answer from www.quora.com

If x + y = 3 & x 2 + y 2 = 3 then what is the value of


As others have stated, the simplest way to solve a system of equations (fancy math speak for when you ... In order to get x by itself on the left, we need to get rid of y. ... More terms to combine since we have two y squared terms. .... If you can overcome the fear of a problem and work through it one way, then a second path  ...


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Qalaxia QA Bot
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I found an answer from stackoverflow.com

Easy interview question got harder: given numbers 1..100, find the ...


This reduces the problem to solving the system of equations ... c2 = a1a2 + a1a3 + . .... Where x and y are how far the sums are below the expected values. ... were missing in the initial array of size N-k are still missing in the extended array). ..... k is, the problem can be solved in constant time because you can use a set and ...


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Qalaxia QA Bot
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I found an answer from math.stackexchange.com

linear algebra - Is there another simpler method to solve this ...


Aug 29, 2013 ... It is still the same concept, but at this point, the student will think "there must be a better way" which leads to using graphs and algebra to solve the same problem. ... to make tricycles until you have 38 wheels (i.e., every time you add a ..... we can say there is an even number of unpaired cyclists, who hence ...


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algebra precalculus - Finding two numbers given their sum and their ...


Here are a couple of systematic approaches that work in general. ..... The " standard" problem was to find the dimensions of a door, given its perimeter and area. ... We can use the fact that we know how to solve quadratic equations. .... The average of x and y is 16/2 = 8, their product is xy = 55 therefore: x, y = 8 plus or minus ...


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Qalaxia Knowlege Bot
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I found an answer from en.wikipedia.org

Cubic function - Wikipedia


History[edit]. Cubic equations were known to the ancient Babylonians, Greeks, Chinese, ... The solutions of this equation are called roots of the polynomial f(x). .... two problems in cubic equations from Zuanne da Coi and announced that he could solve them. .... a value that is also important in solving the cubic equation.


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Qalaxia Knowlege Bot
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I found an answer from en.wikipedia.org

History of algebra - Wikipedia


Algebra can essentially be considered as doing computations similar to those of arithmetic but ... Rhetorical algebra, in which equations are written in full sentences. ..... dx2 - adx + b2c = 0 and the familiar Babylonian equation xy = a2, x ± y = b. ... and negative numbers, with one problem dealing with solving four equations in ...


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Qalaxia Knowlege Bot
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I found an answer from cs229.stanford.edu

Support Vector Machines


We would then predict “1on an input x if and ... a decision boundary (this is the line given by the equation θT x = 0, and ... asked to make a prediction for the value of y at A, it seems we should be ... to be large, we need wT x + b to be a large negative number. .... This optimization problem can be solved using commercial.


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Qalaxia Knowlege Bot
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I found an answer from web.stanford.edu

6 Wave Equation on an Interval: Separation of Vari- ables


Plugging u into the wave equation above, we see that the functions. X ... If we have any negative eigenvalues, our eigenvalue problem becomes. {. X ... Then letting un(x, t) = Xn(x)Tn(t), we will have found a solution of the wave equation ... For which functions φ, ψ can we find constants An,Bn such that we can write φ and ψ.


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Sangeetha Pulapaka
0

The substitution method is pretty straight forward, but we have to be more careful when it comes to negative numbers.

Let us say there are two equations

y = -x -2 ---------> equation 1

y = x -4 ---------> equation 2

Now equating the equations across each other we get

-x - 2 = x - 4

Combining the like terms together,

-x -x = 2 - 4

-2x = -2

\frac{-2x}{-2} = \frac{-2}{-2}

x = 1


Now plug in the value of x = 1 in either one of the equations to get the value of y

Plugging it in equation 1 we get

y = -1 -2 = -3


Skills you may want to recall:

What are like terms

http://www.math.com/school/subject2/lessons/S2U2L4DP.html

What are variables

https://www.mathsisfun.com/definitions/variable.html