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Given the system y = 2x + 2 and y = 2 x , which statement below is true?
There are no solutions
The system has exactly one solution.
(3, 8) is a solution of the system
(8, 3) is a solution of the system.
Solution:
It is given that
y = 2x + 2 ….. (1)
y = 2x …. (2)
For solving the given linear equations, we substitute (2) in (1)
2x = 2x + 2
2x - 2x = 2
So we get
0 = 2
Therefore, there are no solutions.
Given the system y = 2x + 2 and y = 2 x , which statement below is true?
There are no solutions
The system has exactly one solution.
(3, 8) is a solution of the system
(8, 3) is a solution of the system.
Summary:
Given the system y = 2x + 2 and y = 2 x, the statement ‘there are no solutions’ is true.
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