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Bezzdna [24]
3 years ago
5

Solve each system of equations by using either substitution or elimination.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
5 0
2p=7+q \\
6p-3q=24 \\ \\ 
\hbox{divide the second equation by 3:} \\
\frac{6}{3}p-\frac{3}{3}q=\frac{24}{3} \\
2p-q=8 \\ \\
\hbox{substitute 7+q for 2p in the equation:} \\
7+q-q=8 \\
7=8 \\
not \ true \\ \\
\boxed{\hbox{no solutions}}
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The coordinates of E are (5.75, 0).

<h3>What is midpoint?</h3>

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints.

Given that, C is the midpoint of AB, D is the midpoint of CB and E is the midpoint of DB.

Formula for coordinates of midpoint,

(x, y) = [(x1+x2)/2, (y1+y2)/2]

Coordinates of C;

(x, y) = (-10+8)/2, (14-2)/2

(x, y) = (-1, 6)

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(x, y) = (-1+8)/2, (6-2)/2

(x, y) = (3.5, 2)

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(x, y) = (3.5+8)/2, (2-2)/2

(x, y) =  (5.75, 0)

Hence, The coordinates of E are (5.75, 0).

For more references on midpoints, click;

brainly.com/question/28224145

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