What is the radius and diameter of the following circle?
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The system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.
<h3>What is a linear equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
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We have three linear equations in three variables:
x - y - z = 0 ..(1)
2x - y + 2z = 1 ..(2)
x - y + z = -2 ..(3)
From the equation (1):
Plug this value in the equation (2) and (3):
After solving we get:
z = -1
y = 5
Plug the above two values in equation (1) we get:
x = 4
Thus, the system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.
Learn more about the linear equation here:
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She can use 12 jewels for each pair of jeans. In fact, using 12 jewels per jeans implies that she will use jewels. The two remaining jewels can't be used on any pair of jeans, otherwise she wouldn't use the same number of jewels for each jeans.
This derives from the fact that, if you divide 50 by 4, you get a result of 12 with a remainder of 2.