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asambeis [7]
3 years ago
10

Let x and y represent the tens digit and ones digit of a two digit number, respectively. The sum of the digirs of a two digit nu

mbet is 9. If the digits are reversed, the new number is 27 more than the original number. What is the original number? *Write a system of equations *solve the systems of equations
Mathematics
1 answer:
gayaneshka [121]3 years ago
4 0

Answer:

The Original Number is 36

Step-by-step explanation:

Given:

y is the number in units place

x is the number in tens place

Original Number = 10x+y

x+y=9 is equation 1

Now after interchanging the digits

New number = 10y+x

New Number = 27 + Original Number

Substituting Valus in above equation we get.

10y+x=27+10x+y\\10y-y+x-10x=27\\9y-9x=27\\9(y-x)=27\\y-x=\frac{27}{9}\\

y-x=3 let this be equation 2

Adding equation 1 and 2 we get

(x+y=9)+(y-x=3)\\2y=12\\y=\frac{12}{2}\\y= 6\\

Substituting value of y in equation 1 we get

x+y=9\\x+6=9\\x=9-6\\x=3

x=3 and y=6

Original Number = 10x+y=10\times3+6=30+6=36

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Hilda has $210 worth of $10 and $12 stock shares. The number of $10 shares is five more than twice the number of $12 shares. How
klasskru [66]
Let's first define variables.
 y: number of shares of $ 10
 x: number of shares of $ 12
 We write the system of equations:
 10x + 12y = 210
 y = 2x + 5
 Solving the system:
 x = 75/17
 y = 235/17
 Answer: 
 she has: 
 75/17 shares of $ 12 
 235/17 shares of $ 10

6 0
3 years ago
Read 2 more answers
Which expression is equivalent to (7x+9y)2
Arada [10]

Answer:

49x^2+126xy+81y^2

Step-by-step explanation:

Use the square of a binomial theorem

(a+b)^2= a^2+2ab+b^2

Now expand the given equation:

(7x+9y)^2=49x^2+126xy+81y^2

Hope this helps :)

Have a great day!

6 0
3 years ago
-4x - 6y = 6<br> 4x + 6y = -4
Sloan [31]

Step-by-step explanation:

-4x - 6y = 6

4x + 6y = -4

To solve a system of equations, we can add the two equations and solve for one of the remaining variables -- let's try to eliminate the x variable when we add the two equations together.

Right now, there's a -4x term in the first equation, and a 4x term in the second equation, so if we add those together, we'll be able to eliminate the x variable altogether and solve for y.

However, when we also have a -6y term in the first equation and 6y term in the second equation, so adding these together will also eliminate the y term, leaving a 0 on the left-hand side of the equation.

If we add the two numbers on the right side of the equation, we get -2, which does not equal 0, meaning there are no solutions to this system of equations.

3 0
3 years ago
Read 2 more answers
Hi, please help
SOVA2 [1]

Answer:

A. 133 degrees

Step-by-step explanation:

You add the two known interior numbers in the triangle to find the unknown exterior variable. In this case, the two known interior numbers are 83 and 50. 83 + 50 = 133

7 0
3 years ago
3. A bag contains 4 white, 3 blue, and 6 red marbles. A marble is drawn from the bag, replaced,
gladu [14]

Answer:

Hope this helps! If I could have brainliest I'm trying to rank up.

Step-by-step explanation:

First find the probability of each color being drawn.

We need to find the total number of marbles first.

4 + 3 + 6 = 13

Everything will be over 13.

Probability of a white marble being drawn --> 4/13

Probability of a blue marble being drawn --> 3/13

Probability of a red marble being drawn --> 6/13

Now to find the probabilities of more than one being drawn, we can multiply.

Part A:

6/13*6/13=36/169

Part B:

3/13*3/13=9/169

Part C:

6/13*6/13=18/169

Part D:

7/13*7/13=49/169

8 0
3 years ago
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