Answer:
(x, y) = (0, 1/2) or (1, 3)
Step-by-step explanation:
The first equation factors as ...
x(3x -y) = 0
This has solutions x=0 and y=3x.
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<u>x = 0</u>
Using this in the second equation gives ...
2y -0 = 1
y = 1/2
(x, y) = (0, 1/2) is a solution
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<u>y = 3x</u>
Using the expression for y in the second equation, we get ...
2(3x) -5x = 1
x = 1 . . . . . . . . . simplify
y = 3x = 3 . . . . using x=1 in the first equation
(x, y) = (1, 3) is a solution
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Interestingly, the (red line) graph of 3x^2 -xy = 0 produced by this graphing calculator has a "hole" at x=0, It says that point is (0, undefined). In a sense, y is undefined, in that it can be <em>anything</em>. A more appropriate graph would graph that equation as the two lines x=0 and y=3x.
Answer:
Calculate, in kPa, the pressure exerted by a column of water that is 10-m tall. Assume the weight density of water to be and ignore the pressure due to the atmosphere.
Step-by-step explanation:
Answer:
Step-by-step explanation:
combine like terms
The answer is: 5 .
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Explanation: The solution is: m <span>> 5 .
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GIven the answer choices, m would not EQUAL "5", since m is GREATER THAN 5; or, "m </span> > 5 ".
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All the other answer choices: 7; 9, and 11, are all greater than 5; so they all could be solutions. The question asked which would NOT be solution for the value of "m". The answer choice given, "5", would not be a solution.
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How do we get: " m > 5 " ??
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We solve for "m"; or simplify; as follows:
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Given: 12m − 8 <span>> 52 ; Let us simplify to solve for "m";
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→ Add "8" to both sides;
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→ 12m − 8 + 8 > 52 + 8 ;
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→ to get: 12m > 60 ; → Now, divide EACH side of the inequality by "12"; to isolate "m" on one side of the equation; and solve for "m" ;
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→ 12m / 12 <span>> 60 / 12 ;
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</span>→ m > 5 ;
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