Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Inconsistent systems example
Example Solve the given systems of equations.
x - y = 6
-2x + 2 y = 1
Solution
We can utilize either method here, although it looks like substitution would possibly be slightly easier.
We'll solve out the first equation for x & substitute that in the second equation.
x = 6 + y
-2 (6 + y )+ 2 y = 1
-12 - 2 y + 2 y = 1
-12 =1 ??
Thus, this is clearly not true and there doesn't seem to be a mistake anywhere in our work. Hence, what's the problem? To see let's graph these two lines and illustrates what we get.
It seem that these two lines are parallel (can you check that with the slopes?) and we know that two parallel lines along with different y-intercepts (that's significant) will never cross.
Since we saw in the opening discussion of this section solutions revel the point where two lines intersect. If two lines don't intersect we can't comprise a solution.
Thus, when we get this kind of nonsensical answer from our work we contain two parallel lines and there is no solution to this system of equations.
This system is called inconsistent. Note that if we'd utilized elimination on this system we would have ended up with a similar nonsensical answer.
Example 2 Solve out following systems of equations. 3x + y - 2z = 2 x - 2 y + z = 3 2x - y - 3z = 3 Solution Firstly write down the augmented matrix for this syst
p(x)=x-a
We desire to look at the graph of quadratic function. The most general form of a quadratic function is, f (x ) = ax 2 + bx
Solve 2 x 10 - x 5 - 4 = 0 . Solution We can reduce this to quadratic in form using the substitution, u = x 5 u 2 = x 10 By using this substitution the equa
A toy manufacturer determines that the daily cost,C, for producing x units of a dump truck can b approximated by the function c(x)=0.005x^2-x+109 I got that the manufacturer must
An inlet pipe can fill a large water tank in 4 hours. Another inlet pipe can fill the same water tank in 5 hours. Given an empty water tank, at 8:00 AM, activate both pipes. What t
if a-b equals 73 what is a
-3x+4y>-12
1) The goal of the first questions is to implement some code that performs calibration using the method described in the book; by first computing a projection matrix, and then deco
A v\certain mountain had an elevation of 19,063 ft. In 1911 the glacier on this peek covered 8 acres. by 2000 this glacier had melted to only 1 acre. what is the yearly rate of ch
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd