Which statements are true about the ordered pair (7, 19) and the system of equations? {2x−y=−5 x+3y=22 Select each correct answer.
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In this question, one point ( 7, 19 ) is given. And two linear equations are given. We shall check it one by one.
For 2x − y = −5 :
Putting x = 7 and y = 19 in this equation, we get
2(7) - 19 = - 5
14 - 19 = - 5
- 5 = - 5
So ( 7, 19 ) lies on this line.
For x + 3y =22 :
Putting x = 7 and y = 19 in this equation, we get
7 + 3(19) = - 5
7 + 57 = - 5
64 = - 5 Not possible
So ( 7, 19 ) does not lie on this line.
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