This applet illustrates 95% confidence intervals for samples from a normal distribution with known variance. (a) When taking 100
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Step-by-step explanation:
To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the variable when we add the two equations together.
Right now, there's a term in the first equation, and a
term in the second equation, so if we add those together, we'll be able to eliminate the
variable altogether and solve for
.
However, when we also have a term in the first equation and
term in the second equation, so adding these together will also eliminate the
term, leaving a
on the left-hand side of the equation.
If we add the two numbers on the right side of the equation, we get , which does not equal
, meaning there are no solutions to this system of equations.