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3 years ago

Substitute for y and rewrite the system of equations as a single equation which can be used to solve for x.

Mathematics

1 answer:

Vlada [557]3 years ago

7 0

Answer:

x = 3 and y = 1

Step-by-step explanation:

Given equations

y=3x-8 and y=4-x

We will substitute y from second equation in the first and get:

4-x = 3x-8 first we will add (+x) to both sides and get

4-x+x = 3x+x-8 => 4 = 4x-8 now we will add (+8) to the both sides and get

4+8 = 4x-8+8 => 12 = 4x now we will change the sides of equation and get

4x = 12 => x = 12/4 = 3 => x=3 now we will replace x=3 in the second equation

y= 4-x = 4-3=1 => y=1

Finally we have (x , y) = ( 3 , 1)

God with you!!!

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A bag contains three marbles, eight blue marbles and nine red marbles. If the marbles are picked at random, what is the probabil

Phoenix [80]

The probability of obtaining two blue marbles without replacement is equal to 0.15.

We are given that:

The number of yellow marbles = 3

Number of red marbles = 9

Number of Blue marbles = 8

Total marbles = 3 + 9 + 8

Total marbles = 20

Now, we have to calculate the probability of obtaining two blue marbles without replacement.

The probability will be:

P( obtaining two blue marbles without replacement ) = 8 / 20 × 7 / 19

P( obtaining two blue marbles without replacement ) = 56 / 380

P( obtaining two blue marbles without replacement ) = 0.15

Therefore, the probability of obtaining two blue marbles without replacement is equal to 0.15.

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1 year ago

Every set of three points must be collinear.

maria [59]

Answer:

I suppose you're trying to make a triangle of some sort on a plane! So, in this case, yes the three points would reside all on the same plane. Making all three of them collinear.

3 0

3 years ago

Solve for X. Need to show the work - Need help please.

Strike441 [17]

Answer:

x = 4

Step-by-step explanation:

12/15=28/a which is a=35

then 35+28=63

14x+7=63 and x would be 4

7 0

3 years ago

Simplify this equation Thanks a lot!!!

den301095 [7]

Answer:

-1

Step-by-step explanation:

We need to simplify the given expression . The given expression is ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,

$\bf\implies a^m \times b^m = (ab)^m$

Using this property , we have ,

$\rm\implies ( 2 \sqrt6 +5)^{2n-1} ( 2\sqrt6 - 5)^{2n-1}$

This can be written as ,

$\rm\implies\{( 2 \sqrt6 +5) ( 2\sqrt6 - 5)\}^{2n-1}$

Simplifying using ( a+b)(a-b) = a² - b² ,

$\rm\implies\{( 2 \sqrt6)^2 -5^2 \}^{2n-1}\\\\\rm\implies ( 24 - 25)^{2n-1}$

Subtracting the numbers inside the brackets ,

$\rm\implies (-1)^{2n - 1 }$

Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the power is odd .

Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,

$\rm\implies\boxed{\quad \red{ -1 }\quad }$

Hence the required answer is (-1) .

4 0

3 years ago

2x – 5x + 16 = –3(x – 6)

lapo4ka [179]

Answer:

Step-by-step explanation:

2x – 5x + 16 = –3(x – 6)

2x - 5x + 16 = -3x + 18

-3x + 16 = -3x + 18

0x = 1

x = 0

6 0

3 years ago

Read 2 more answers