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koban [17]
2 years ago
8

Find the point of intersection of the lines in the figure, given that line A, in red, has equation y=x+3 and line B, in blue, ha

s equation 2x+3y=10.
x=
y=

Mathematics
1 answer:
Zepler [3.9K]2 years ago
7 0

Answer:

(0.2, 3.2)

Step-by-step explanation:

line A, in red, has equation          y=x+3   times 3    3y=3x+9

line B, in blue, has equation 2x+ 3y = 10

                                             -3x + 3y = 9      subtract thes two equations      

                                         (2x - -3x) + (3y -3y) = 10 - 9

                                                  5x + 0y  = 1

                                                         5x  =  1  

                                                           x = 1/5    or  0.2

                                                y = x + 3

                                                y = 0.2 + 3

                                                y = 3.2

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