1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kondaur [170]
3 years ago
14

The sum of two numbers, x and y, is 12. The difference of x and two times y is 6. What are the values of x and y?

Mathematics
2 answers:
ikadub [295]3 years ago
5 0
We write to expressions since there are two unknown here which is x and y. The first expression is the <span>sum of two numbers, x and y, is 12.

x + y = 12

The second expression is that the </span><span>difference of x and two times y is 6.

x -2y = 6

Therefore, the values of x and y are 10 and 2.</span>
netineya [11]3 years ago
5 0

Answer:

The values of x= 10 and y = 2

Step-by-step explanation:

Assume x>y

The first statement states that sum of two numbers,  x and y, is 12

then, we can write this statement in algebraic expression:

x+y =12   ...[1]

The second statement states that the difference of x and two times y is 6.

we can write it as :

x -2y =6    ....[2]

Now, subtracting equations, we  will eliminate x leaving an equation in y that we can solve:

⇒ [1]-[2] gives

(x+y)-(x-2y) = 12-6

or

x+y-x+2y = 6

On simplify we get;

3y=6 or

y=2

Now, substitute the value of y=2 in equation [1] we get;

x+2=12

On simplify, we get;

x =10

therefore, the values of  x and y are, 10 and 2.




You might be interested in
First you to find the worksheet and download it<br> plase I need help
Goshia [24]

Answer:

a) The horizontal asymptote is y = 0

The y-intercept is (0, 9)

b) The horizontal asymptote is y = 0

The y-intercept is (0, 5)

c) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

d) The horizontal asymptote is y = 3

The y-intercept is (0, 4)

e) The horizontal asymptote is y = -1

The y-intercept is (0, 7)

The x-intercept is (-3, 0)

f) The asymptote is y = 2

The y-intercept is (0, 6)

Step-by-step explanation:

a) f(x) = 3^{x + 2}

The asymptote is given as x → -∞, f(x) = 3^{x + 2} → 0

∴ The horizontal asymptote is f(x) = y = 0

The y-intercept is given when x = 0, we get;

f(x) = 3^{0 + 2} = 9

The y-intercept is f(x) = (0, 9)

b) f(x) = 5^{1  - x}

The asymptote is fx) = 0 as x → ∞

The asymptote is y = 0

Similar to question (1) above, the y-intercept is f(x) = 5^{1  - 0} = 5

The y-intercept is (0, 5)

c) f(x) = 3ˣ + 3

The asymptote is 3ˣ → 0 and f(x) → 3 as x → ∞

The asymptote is y = 3

The y-intercept is f(x) = 3⁰ + 3= 4

The y-intercept is (0, 4)

d) f(x) = 6⁻ˣ + 3

The asymptote is 6⁻ˣ → 0 and f(x) → 3 as x → ∞

The horizontal asymptote is y = 3

The y-intercept is f(x) = 6⁻⁰ + 3 = 4

The y-intercept is (0, 4)

e) f(x) = 2^{x + 3} - 1

The asymptote is 2^{x + 3}  → 0 and f(x) → -1 as x → -∞

The horizontal asymptote is y = -1

The y-intercept is f(x) =  2^{0 + 3} - 1 = 7

The y-intercept is (0, 7)

When f(x) = 0, 2^{x + 3} - 1 = 0

2^{x + 3} = 1

x + 3 = 0, x = -3

The x-intercept is (-3, 0)

f) f(x) = \left (\dfrac{1}{2} \right)^{x - 2} + 2

The asymptote is \left (\dfrac{1}{2} \right)^{x - 2} → 0 and f(x) → 2 as x → ∞

The asymptote is y = 2

The y-intercept is f(x) = f(0) = \left (\dfrac{1}{2} \right)^{0 - 2} + 2 = 6

The y-intercept is (0, 6)

7 0
2 years ago
The answers is what I got but it said it was wrong. can anyone hhelp find the right answer?​
klio [65]

Answer:

but its right

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Find the values for a and b that would make the following equation true.
ale4655 [162]

Answer:

\left(ax^2\right)\left(-6x^b\right)=12x^5\\\\(-6a)x^{2+b}=12x^5\to -6a=12\ and\ 2+b=5\\\\-6a=12\ \ \ |:(-6)\\a=-2\\\\2+b=5\ \ \ |-2\\b=3

Answer:\ a=-2;\ b=3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the value of y in the solution to the system of equations 5x-y=25 and x+4y=-10
Amiraneli [1.4K]

Answer:

y=-3.571

Step-by-step explanation:

To get rid of the x's make the other x cancel out the other.

5x-y=25+(-5(x+4y=-10)=-21y=75= -3.571

3 0
3 years ago
Read 2 more answers
Identify the terms and the like terms in the expression z+8-4z
slamgirl [31]

Answer: -3z+8


Step-by-step explanation: add -4z and z because they are like terms and then leave the 8 alone because it’s a term.


8 0
2 years ago
Other questions:
  • The germination rate is the rate at which plants begin to grow after the seed is planted.
    6·1 answer
  • Simplify -7(-2w-3)+5
    6·1 answer
  • There are 100 students in a blind school. Mr.and Mrs. Ramesh wished to serve them milk. They served the milk in a hemispherical
    6·1 answer
  • What is the slope and y intercept of the line represented by this equation below? 3x+8y=2
    12·1 answer
  • What's the intercepts for the equation 4x-6y-5z=60?
    13·1 answer
  • The sides of a hexagon are 2, 3, 2, 4, 7, and 6. Find the perimeter of a similar hexagon with two sides of length 3.
    13·1 answer
  • Mr. A is 30 years old and Mr. B is 40 years old. Calculate thier year of birth :)​
    5·1 answer
  • PLEASE HELP I AM GIVING 20 POINTS I NEED EXPLANATION PLEASE HELP
    9·2 answers
  • Scrooge-
    14·1 answer
  • When finding the slope of a line using a slope triangle, the____
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!