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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.
answer in scientific notation correct to the ten thousandths 471,598,000,000
When the Gleo Retro (a trendy commuter car) is brand new, it costs $23,500. Each year it loses 15 % of its value. What will the car be worth when it is 15 years old?
(x^6-13x+42)/(x^3-7)
3_-1 x+2 --- 1+_2 x+2
5x + 2y = 6 -2x + y = -6
I have 4.80 I need to separste into nichols, dimes and pennies. The first digit has to equal The first digist is l1 less the the first and the 2nd is once less than the third and
How do i do an fx problem?
According to the given scale value of ? will be : 1.5 3 4
2 bicyclist riding on a circular track start at the same time. one can make it around the track in 8 min. the other takes 10 min. how long will it take the faster bicyclist to catc
(-11,-3),(0,-7)
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