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stiks02 [169]
3 years ago
9

What is the solution to the system of equations 2x+y=2 and y= -2x-2?

Mathematics
1 answer:
finlep [7]3 years ago
5 0

Answer:

NO SOLUTION

Step-by-step explanation:

Solve this system by substitution:

Replace y in the first equation with -2x - 2:

2x + (-2x - 2) = 2, or

2x - 2x - 2 = 2

0 = 4      This is not possible, so this system has NO SOLUTION.

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Gina takes out a loan totaling $5000. The loan has a 5% interest rate that is compounded monthly. What is the total due after 48
dimaraw [331]
Using the formula A=P(1+i/100)^n
where A is the investment/loan after n years, P is the original investment/loan and i% is the interest per annum.

A=5000(1+0.05)^48
A=52006.35
4 0
3 years ago
7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4
DerKrebs [107]

9514 1404 393

Answer:

  (x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

  7a +4b = 5/4

  8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

  (7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

  8b = 8/4

  b = 1/4

Substituting into the first equation gives ...

  7a +4/4 = 5/4

  a = 1/28

__

Now, we can get back to solving for x and y.

  4x +3y = 1/a = 28

  4x -3y = 1/b = 4

  8x = 32 . . . . . . . . . add the two equations

  x = 4

  3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

  y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

<em>Additional comment</em>

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

7 0
2 years ago
Convert .076 to a fraction
IgorC [24]
76/1000 because the place thousand and the number is 76

8 0
3 years ago
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Suppose that 30% of all drivers stop at an intersection having flashing red lights when no other cars are visible. of 15 randoml
Julli [10]
X = 15 x 0.3

x = 5

Done
6 0
3 years ago
Time sensitive
mezya [45]

Answer:

15 and one-half

Step-by-step explanation:

14/2 + 3(4) - (6.5 - 3)

<em>Use PEMDAS</em>

14/2 + 3(4) - 3.5

<em>Use PEMDAS</em>

7 + 12 - 3.5

<em>Use PEMDAS</em>

15.5

7 0
3 years ago
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