Mathematics, 14.08.2020 15:01 justnbri

Which statement about this system of equations is true? A. The system has no solution. B. The system has a unique solution at (0,6). C. The system has a unique solution at (0,-4). D. The system has infinitely many solutions.

Which statement about this system of equations is true? A. The system has no solution. B. The syste

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Answer from: thekid3176

A. The system has no solutions

Step-by-step explanation:

Step 1: Check to see if the 2 lines share 1 slope

slope of blue line = $\frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}$

slope of red line = $\frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}$

Step 2: Realize that lines with the same slope never touch

We know lines with the same slope are parallel to each other so they won't collide

Step 3: Know what the question is asking you

When they ask for solutions to the system of equations they are asking you to find out where they intersect

Step 4: Find answer

Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution

Therefore the answer is A. The system has no solutions

Answer from: tleppek6245

$\huge \boxed{\mathrm{Option \ A}}$

Step-by-step explanation:

For the system of equations to have solutions, the two equations have to intersect on the graph.

The two lines on the graph never intersect, therefore there are no solutions for the system of equations.

Answer from: Quest

Okay so for every triangle has three angles that always add up to 180 degrees. and to tell the difference between whether they are secure, right or obtuse is that acute: has one angle that is less than 90 degrees. right triangle means there is at least one angle that is exactly 90 degrees. and an obtuse angle has an angle that is bigger than 180 degrees. i’ll do #13 as an example: 13. 40 and 50 so if every triangle has 180 degrees 40+50= 90 degrees then180-90= 90 degrees so the third angle is 90 degrees and because this triangle has a 90 degree angle it means it is a right triangle

Answer from: Quest

in problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. to find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.

hope it

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Which statement about this system of equations is true? A. The system has no solution. B. The system...

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