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Rashid [163]
3 years ago
6

Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. x

=2y-7 and 4x+y=71 *
Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

The solution is (15, 11)  There is only one solution.

Step-by-step explanation:

Solve this system using substritution.  In the second equation replace x with 2y - 7, obtaining:

4(2y - 7) + y = 71, which simplifies as follows:

8y - 28 + y = 71, or

9y = 99.  then y must be 11.  If y is 11, then x = 2y - 7, or x = 2(11) - 7 = 15

The solution is (15, 11)  There is only one solution.

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Rotating the graph of Ax^2+Bxy+Cy^2+Dx+Ey+F=0 with B\ne0 counterclockwise by \theta eliminates the xy term, where \cot2\theta=\frac{A-C}{B}. Plugging in, we have \cot2\theta=\frac{7}{24}, since C=0. Solving, we have \theta=\frac{1}{2}\cot^{-1}(\frac{7}{24})\approx\boxed{36.9^\circ}.

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A rug is 4 m wide. How much is this in centimeters?
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What is the value of the expression “three less than the quotient of ten and a number, increased by six” when n = 2?
alisha [4.7K]

Answer:

8

Step-by-step explanation:

The given expression is "three less than the quotient of ten and a number, increased by six”

The quotient of ten and a number increased by six is translated into mathematical expression as:

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Three less than the quotient of ten and a number, increased by six is

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When we substitute n=2, we get:

(\frac{10}{2}+6)-3

Divide to get:

(5+6)-3

Add to get:

11-3

Subtract

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Step-by-step explanation:

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