Inconsistent systems example, Algebra

Assignment Help:

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.

357_Inconsistent systems example.png

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.


Related Discussions:- Inconsistent systems example

Factor theorem, Factor Theorem For the polynomial P ( x ) , 1. If va...

Factor Theorem For the polynomial P ( x ) , 1. If value of r is a zero of P ( x ) then x - r will be a factor of P ( x ) . 2. If x - r is a factor of P ( x ) then r will

Polynomilas, i dont get them i need help

i dont get them i need help

Solve a quadratic equation through completing the square, Solve a quadratic...

Solve a quadratic equation through completing the square Now it's time to see how we employ completing the square to solve out a quadratic equation. The procedure is best seen

Word Problem, A student rented a bicycle for a one-time fee of $12.00 and t...

A student rented a bicycle for a one-time fee of $12.00 and then a charge of $0.85 per day.She paid $28.15 for the use of the bicycle. How many days did she keep it?

Quiz #5., Working together Jack and Bob can clean a place in 30 minutes. On...

Working together Jack and Bob can clean a place in 30 minutes. On his own, Jack can clean this place in 50 minutes. How long does it take Bob to clean the same place on his own?

Please help, I need to relearn algebra1and 2 please help me!i have got to I...

I need to relearn algebra1and 2 please help me!i have got to I cant get this job because I forgot how to do algebra 1 and 2

Solving Proportions, 2 adults for 10 children and 3 adults for 12 children

2 adults for 10 children and 3 adults for 12 children

1, I am 13 years old and I really need help in my Pre-Alg class

I am 13 years old and I really need help in my Pre-Alg class

Logaritmos, si el log de 28 en base 14 es a cuanto es el log de 16 en base ...

si el log de 28 en base 14 es a cuanto es el log de 16 en base 49

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

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!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd