Which system of equations has no solutions? — Please help :(

Mathematics

1 answer:

garri49 [273]3 years ago

8 0

Answer:

the one that the 2 lines are parallel

left down

Step-by-step explanation:

parallel lines have no solutions

intersecting ones have one

the ones that overlap each other entirely have infinite amount of solutions

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Write an equation of the line in point slope form parallel to y=1/3x-5 through point (3,-7)

Mashcka [7]

Hmmm so, parallel lines have the same slope, so a line that's parallel to y=1/3x-5, will also have the same slope as that one, what would that be anyway? $\bf y=\stackrel{slope}{\cfrac{1}{3}}x-5$ , well, low and behold, since that equation is in slope-intercept form already, we can see is just 1/3.

so, what is the equation of a line whose slope is 1/3 and runs through 3, -7?

 $\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ 3 &,& -7~)
\end{array}
\\\\\\
% slope = m
slope = m\implies \cfrac{1}{3}
\\\\\\
% point-slope intercept
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sweet [91]

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These are not hard....u just have to pay very close attention to the wording. Keep in mind ratios can be written as fractions too.

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