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tiny-mole [99]
3 years ago
14

Answer please !! Due in 45 minutes m

Mathematics
1 answer:
weqwewe [10]3 years ago
5 0

Answer:

(-3,3)

Step-by-step explanation:

Using elimination:

Multiply the first equation by 8 and the second by 5 which equals

40x+56y=48

-40-60y=-60

Now you add them together

40x+(-40x)=0 so that crosses out

56y+(-60y)= -4y

48+(-60)=-12

You now have -4y=-12

Divide by -4

y=3

Now plug in y to any of the equations

5x+7(3)=6

5x+21=6

Subtract 21 from both sides

5x=-15

Divide by 5

x=-3

Your final solution is (-3,3)

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2 years ago
Divid 15 into two parts such that the sum of their reciprocal is 3/10
emmasim [6.3K]
Let x and y be the 2 parts of 15 ==> x + y=15 (given)

Reciprocal of x and y ==> 1/x +1/y ==> 1/x + 1/y = 3/10 (given)


Let's solve  1/x + 1/y = 3/10 . Common denominator = 10.x.y (reduce to same denominator)

 ==> (10y+10x)/10xy = 3xy/10xy ==> 10x+10y =3xy

But x+y = 15 , then 10x+10y =150 ==> 150=3xy and xy = 50

Now we have the sum S of the 2 parts that is S = 15 and 
their Product = xy =50
Let's use the quadratic equation for S and P==> X² -SX +P =0
Or X² - 15X + 50=0, Solve for X & you will find:
The 1st part of 15 is 10 & the 2nd part is 5
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3 years ago
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A laundry basket contains 18 blue socks and 24 black socks. What is the probability of randomly picking 2 black socks, without r
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6 0
3 years ago
Which equation is a solution to (x-3)(x+9)=27?
Shtirlitz [24]

Answer:

x = ± 3\sqrt{7} - 3

Explanation:

I'm assuming you want the solutions to that equation, so here goes! (If not, please comment.)

(x-3)(x+9)=27

Let's FOIL this all out and expand. (Remember: First, Outer, Inner, Last.)

x^2 +   9x    -    3x    -  27

(first+ inner + outer + last)

x^2 + 9x - 3x - 27 = 27

Combine like terms, and add 27 to both sides.

x^2 + 6x - 27 + 27 = 27 + 27

x^2 + 6x = 54

Let's complete the square, because factoring doesn't work, and because it's good practice.

x^2 + 6x + ___ = 54 + ____

In the blank we will put b/2 ^2 = 6/2 ^2 = 3^2 = 9 to complete the square.

x^2 + 6x + 9 = 54 + 9

Now we've got a perfect square factor:

(x + 3)^2 = 63

sqrt(x+3)^2 = \sqrt{63}

x + 3 = ± 3\sqrt{7}

x = ± 3\sqrt{7} - 3

7 0
3 years ago
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