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wlad13 [49]
3 years ago
14

Find the solution set of the following equations: 2y=2x+7X=y+2

Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

The system of equations has no solution.

Step-by-step explanation:

Given the system of equations

2y = 2x+7

x = y+2

solving the system of equations

\begin{bmatrix}2y=2x+7\\ x=y+2\end{bmatrix}

Arrange equation variables for elimination

\begin{bmatrix}2y-2x=7\\ -y+x=2\end{bmatrix}

Multiply -y+x=2 by 2:  -2y+2x=4

\begin{bmatrix}2y-2x=7\\ -2y+2x=4\end{bmatrix}

so adding

-2y+2x=4

+

\underline{2y-2x=7}

0=11

so the system of equations becomes

\begin{bmatrix}2y-2x=7\\ 0=11\end{bmatrix}

0 = 11 is false, therefore the system of equations has no solution.

Thus,

No Solution!

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A certain book is sold in a paperback version for 4.75 or in a hardcover versoin for 11.50, If a copy of the book is being purch
mote1985 [20]

Answer:

$135

Step-by-step explanation:

Paperback=$4.75

Hardcover=$11.50

Multiply 4.75 and 20=95

Multiply 11.50 and 20=230

Subtract 230 and 95=135

so it would be $135

4 0
3 years ago
A major stadium has 45,000 seats. If baseball fans have bought 5/8 of the seats for the next game, how many seats are available?
poizon [28]
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3 years ago
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What is the general equation of a cosine function with an amplitude of 3, a period of 4 pi, and a horizontal shift of negative p
liberstina [14]

The cosine function with the given characteristics is:

f(x) = 3*cos(x/2 - pi).

<h3>How to get the cosine function?</h3>

The general cosine function is:

f(x) = A*cos(kx + p)

Where A is the amplitude and p is the phase, then we know that:

A = 3

p = -pi

Then we have:

f(x) = 3*cos(kx - pi)

And the period is equal to 4pi, then we must have that:

k*(x + 4pi) - pi = k*x - pi + 2pi

k = 1/2

Then the function is:

f(x) = 3*cos(x/2 - pi).

If you want to learn more about cosine functions:

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3 0
2 years ago
Please help me asap! will give 20 points.
densk [106]
It might be choice D?
5 0
3 years ago
the volume of a solid triangular prism is 726 cubic centimeters. its height is 12 centimeters and its bases are congruent right
aivan3 [116]

9514 1404 393

Answer:

  11 cm

Step-by-step explanation:

The volume of the prism is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

Filling in the given information, we find the area of the triangular base to be ...

  726 cm³ = B(12 cm)

  B = 726 cm³/(12 cm) = 60.5 cm²

The area of an isosceles right triangle is half the area of a square with the same side lengths:

  B = 1/2s²

  60.5 = 1/2s²

  s = √(2(60.5)) = √121 = 11

The length of each of the equal sides of the base is 11 cm.

4 0
3 years ago
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