What system does it represent and what is the solution of this system

Mathematics

1 answer:

kicyunya [14]2 years ago

6 0

We can see that the lines intersect at (-5,3) on the graph, so that eliminates choices B and D. Both A and C say that the first line is y=x+8, which is true. A says that the second line is y+x=-2, and after isolating y, we get y=-x+2, which seems correct. Do the same for C, and you will find that it says the other equation is y=x-2, which is not true because it must have a negative slope. So your answer will be choice A.

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Then, to find the slope and the y-intercept of the line given in the exercise, you only need to solve for "y", in order to write the equation in Slope-Intercept Form:

$\begin{gathered} x+3y=3 \\ 3y=-x+3 \\ \\ y=\frac{-1}{3}x+\frac{3}{3} \\ \\ y=-\frac{1}{3}x+1 \end{gathered}$

Now you can identify that the slope is:

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Therefore, the answer is:

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