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Mekhanik [1.2K]
2 years ago
14

The common point between lines y = 2x + 5 and y = ½ x + 6 is (3, 1/2). true or false

Mathematics
2 answers:
Taya2010 [7]2 years ago
8 0

Answer:

the answer is false.

Step-by-step explanation:


mixer [17]2 years ago
5 0
The common point between y = 2x + 5 and y = (1/2)x + 6 will have the same values for x and y.

Therefore, set the two y expressions equal to obtain
2x + 5 = (1/2)x + 6

Subtract (1/2)x from each side.
(3/2)x + 5 = 6

Subtract 5 from each side.
(3/2)x = 1

Multiply each side by 2/3.
x = 2/3.

From the first equation, obtain
y = 2*(2/3) + 5 = 19/3.

The common point is (2/3, 19/3). It is not equal to (3, 1/2).

Answer: False
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