<h3>Answer:</h3>
none of these has "no solution"
<h3>Explanation:</h3>
A. The solution is (8/3, 3)
B. The second equation is -1/2 times the first, so these describe the same line. The system has an <em>infinite number of solutions</em>.
C. The solution is (-4, -2)
D. The solution is (4, -2)
E. The second equation is 2 times the first, so these describe the same line. The system has an <em>infinite number of solutions</em>.
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A system of equations will have "no solution" when it describes parallel lines—lines that do not intersect. In standard form, such equations are recognizable by their different constants. For example,
- 3x -4y = -4
- 3x -4y = 20 . . . . . . 20 is different from -4
have different constants, so the equations describe parallel lines.
We could multiply one of these by -2 and the system would still be "inconsistent"—having no solution.
Solution
Part 3
For this case we have 6 different terms
Part 4
We can do the following:
Part 5
And we can simplify on this way:
This argument is no valid although the first part of the statement is valid. If a number is larger than 6 than its square must be larger than 36. But if the number is smaller than 6, its square does not need to be smaller than 36. For example...
(-100)²=10000
-100 is smaller than 6 but its square is bigger.
answer: False
C: translation
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