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For what value of k will the system of equations above have at least one solution?
Correct answer is '1.2'. Can you explain this answer?
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For what value of k will the system of equations above have at least o...
First, we should simplify the first equation: 
Subtract 1/3y:
Multiply by 12: 6x - 4y = 1.2
This equation represents a line with slope of 6/4 = 3/2. The second equation, 6x - 4y = k, also represents a line with slope 6/4 = 3/2. In order for t his system of equat ions to have at least one solution, these two lines must have an intersection. How can two lines with the same slope intersect? They must be identical lines, and therefore intersect in all of their points. If this is the case, then k must equal 1.2.
Subtract 1/3y:
Multiply by 12: 6x - 4y = 1.2
This equation represents a line with slope of 6/4 = 3/2. The second equation, 6x - 4y = k, also represents a line with slope 6/4 = 3/2. In order for t his system of equat ions to have at least one solution, these two lines must have an intersection. How can two lines with the same slope intersect? They must be identical lines, and therefore intersect in all of their points. If this is the case, then k must equal 1.2.
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For what value of k will the system of equations above have at least one solution?Correct answer is '1.2'. Can you explain this answer?
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For what value of k will the system of equations above have at least one solution?Correct answer is '1.2'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about For what value of k will the system of equations above have at least one solution?Correct answer is '1.2'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for For what value of k will the system of equations above have at least one solution?Correct answer is '1.2'. Can you explain this answer?.
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