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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.
i need help on quadraics formulas
#question. What is central theme in algebra?
Jumping rope can burn 600 calories per hour. Write and solve an inequality to find the number of hours of jumping rope that it would take for you to burn at least 450 calories.
you can use the equation -b +or- Square root of bsquared - 4(a)(c)over 2a. But if you number for b is b is negative it will become positive??? And if the number was + it will Beco
(x2+6x+5)/(x-2)
Logarithm form In this definition y = log b x is called the logarithm form Exponential form In this definition b y = x is called the exponential form.
2x+y/x+3y=-1/7and 7x+36y=47/3 hence find p if xy=p=x/y
I need help solving the following Algebra problem. Give all solutions of the nonlinear system of equations, including those with nonreal complex components. xy=-20 3x+5y=5
M-(-14)=-7
how many car washes can you get at the has station and still pay less than 32.99 if the local gas station is 10.95 plus tax
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