Solve: 6x + 10 = 4x -8. Determine how many solutions? (exactly one, infinitely many, no solution)
1 answer:
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Answer:
9/10
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by that fraction's reciprocal (basically the fraction flipped).
÷
=
The average value over the interval is the area under the curve divided by the width of the interval.
Area = 4*(6 -1) +5(8 -6) = 30
Width = 8 - 1 = 7
Average value = 30/7 = 4 2/7
Area = 4*(6 -1) +5(8 -6) = 30
Width = 8 - 1 = 7
Average value = 30/7 = 4 2/7
The statement is false, as the system can have no solutions or infinite solutions.
<h3>Is the statement true or false?</h3>
The statement says that a system of linear equations with 3 variables and 3 equations has one solution.
If the variables are x, y, and z, then the system can be written as:
Now, the statement is clearly false. Suppose that we have:
Then we have 3 parallel equations. Parallel equations never do intercept, then this system has no solutions.
Then there are systems of 3 variables with 3 equations where there are no solutions, so the statement is false.
If you want to learn more about systems of equations:
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