Which of the following equations have exactly one solution?
pose all answers that apply:
(A) 58x + 52 = 78x – 78
(B). 58x + 52 = –78x – 78
(C). –78x + 52 = –52x – 78
(D). 52x + 52 = 52x – 78
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Answers
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Answer :
Options (A, B and C) are correct.
Step by step explanation :
An equation of the form ax+b= cx+d has:
- ax+b= cx+d has:exactly one solution when “a ≠ c”
- no solutions when “a = c and b ≠ d”
- Infinitely many solutions when “a = c and b = d”
In order for our equation to have exactly one solution a must be different from c.
In the following equations, a is different from c.
- 58x + 52 = 78x – 78
- 58x + 52 = – 78x – 78
- –78x + 52 = –52x – 78
Hence the answer is,
(A) 58x + 52 = 78x – 78
(B). 58x + 52 = –78x – 78
(C). –78x + 52 = –52x – 78
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