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AveGali [126]
3 years ago
5

Estimate the solution of system equation y = -2x-5 y = 2x-2

Mathematics
1 answer:
pogonyaev3 years ago
7 0

Answer:

(-3/4,-7/2)

Step-by-step explanation:

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(30 points)
Pani-rosa [81]

The vertices of the triangle are the points where any pair of lines intersect.

We start by setting up the system

\begin{cases}y=-x+2\\y=2x-1 \end{cases} \iff -x+2=2x-1 \iff 3x=3 \iff x=1

Using one of the two equations we can derive the correspondent y value:

f(x)=-x+2 \implies f(1)=-1+2 = 1

So, one vertex is (1, 1)

We choose the other two pairs of lines to find the other vertices:

\begin{cases}y=-x+2\\y=x-2 \end{cases} \iff -x+2=x-2 \iff x=2 \implies y = 0

\begin{cases}y=x-2\\y=2x-1 \end{cases} \iff x-2=2x-1 \iff x=-1 \implies y=-3

So, the three vertices are (1, 1), (2, 0), (-1, -3).

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3 years ago
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