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Question
Mathematics
Titik persilangan
P
Point of intersection
D
1.
5 x 2 y = 16 y = 1 2 x {:[5x-2y=16],[],[y=1-2x]:}
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Answer: The point of intersection is D ( 3 , 5 ) D(3,-5).
Solution:
To find the point of intersection, we need to solve the system of equations:
(1) 5 x 2 y = 16 (2) y = 1 2 x {:[(1)5x-2y=16],[],[(2)y=1-2x]:}
Substitute equation ( 2 ) (2) into equation ( 1 ) (1) and solve for x x:
5 x 2 ( 1 2 x ) = 16 5 x 2 + 4 x = 16 9 x = 18 x = 2 {:[5x-2(1-2x)=16],[],[5x-2+4x=16],[],[9x=18],[],[x=2]:}
Substitute x = 2 x=2 into equation ( 2 ) (2) and solve for y y:
y = 1 2 x = 1 2 ( 2 ) = 3 {:[y=1-2x],[],[=1-2(2)],[],[=-3]:}
Therefore, the point of intersection is D ( 2 , 3 ) D(2,-3).
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