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
Inessa [10]
3 years ago
13

A first number plus twice a second number is 14. twice the first number plus the second totals 31. find the numbers.

Mathematics
1 answer:
topjm [15]3 years ago
4 0
------------------------------------------------------------
Define the two numbers
-----------------------------------------------------------
Let the first number be x.
Let the second number be y.

------------------------------------------------------------
Form equations and solve x and y
------------------------------------------------------------
x + 2y = 14 ------------------ (1)
2x + y = 31 ------------------ (2)

------------------------------------------------------------
Equation (1) x 2
------------------------------------------------------------
2x + 4y = 28  ---------------(1a)

------------------------------------------------------------
Equation (1a) - 2
------------------------------------------------------------
3y = 28 - 31
3y = -3
y = -1

------------------------------------------------------------
Substitute y = -1 into (1)
------------------------------------------------------------
x + 2(-1) = 14
x -2 = 14
x = 14 + 2
x = 16

------------------------------------------------------------
Answer: x =16, y = -1
------------------------------------------------------------

You might be interested in
If y=1/4 when x=5, find y when x=7, given that y directly with x
mariarad [96]

Answer:

7/20

Step-by-step explanation:

Since y varies directly with x, the ratio of y to x is proportional.

... y / 7 = (1/4)/(5)

... y / 7 = 1 / 20 . . . . simplify

... y = 7/20 . . . . . multiply by 7

3 0
4 years ago
What is the geometric mean og 6 and 13
lara31 [8.8K]

Answer:

The answer is

Step-by-step explanation:

6 0
3 years ago
Solve this equation -3x+1+10x=x+4
Salsk061 [2.6K]

Answer: x=\frac{1}{2}

Explanation:

We have been given with the equation -3x+1+10x=x+4

We will collect the terms that are written in variable of x in one side and the constant values on the other side we will get

-3x+10x-x=4-1

After simplification we will get  6x=3

which implies x=1/2

When x from right hand side shift  will shift to left hand side it will change its sign and similarly when 1 from left hand side shift to right hand side change its sign.

Therefore, x=1/2

3 0
4 years ago
Read 2 more answers
A deck of cards contains RED cards numbered 1,2,3,4,5, BLUE cards numbered 1,2,3, and GREEN cards numbered 1,2,3,4,5,6. If a sin
Tatiana [17]

Answer: 1/52

Step-by-step explanation:

A deck of cards contains 52 cards

Red cards are numbered 1,2,3

Blue cards are numbered 1,2,3,4,5,6

Green cards are numbered 1,2

Number of Red card = 3

Number of blue card = 6

Number of Green card = 2

Let Pr(R) = Probability of picking a Red card

Let Pr(B) = probability of picking a blue card

Let Pr(G) = probability of picking a green card

Let Pr(RE) = Probability of picking a red even card

Let Pr(RO) = probability of picking a red odd card

Let Pr(BE) =probability of picking a blue even card

Let Pr(BO) = probability of picking a blue odd card

Let Pr(GE) = probability of picking a green even card

Let Pr(GO) = probability of picking a green odd card

Pr(R) = 3/52

Since we have 3 red cards,

Pr(RE) = 1/3

Pr(RO) =2/3

Pr(B) = 6/52

= 3/26

Since we have 6 blue cards ,

Pr(BE) = 3/6

= 1/2

Pr(BO) = 3/6

= 1/2

Pr (G) = 2/52

= 1/26

Since we have 2 green cards,

Pr(GE) = 1/2

Pr(GO) = 1/2

The probability of picking a Green card and an odd green card is

Pr(G) n pr(GO)

1/26 * 1/2

= 1/52

5 0
3 years ago
What is the equation for an arithmetic equation sequence with a first term of 5 and a second term of 2?
Margaret [11]

Answer:

THE THIRD ONE

Step-by-step explanation:

the equation: An=A1+d(n-1)


plug in the numbers

3 0
3 years ago
Read 2 more answers
Other questions:
  • - Two consecutive integers are 5 and 6. Write a quadratic equation that
    15·1 answer
  • Graph the line y=3x-7
    12·1 answer
  • Please help me out please
    6·1 answer
  • A section of wall is being framed. A model of the framing work is shown below. Vertical and parallel lines c, d, and e are cut b
    10·2 answers
  • A boy stands 1 meter away from a lamppost. He is 1.8 meters tall and casts a shadow 2 meters long in the light from the lamp. Ho
    6·2 answers
  • Solve for x. x/2≥−4 <br> a. x≥−2 <br> b. x≤−2 <br> c. x≥−8 <br> d. x≤−8
    6·1 answer
  • Complete the following.
    7·1 answer
  • The function f(x) is shown below.
    12·1 answer
  • Which arrangement shows - 27 -4.1, -52and and 3 in order from least to greatest? 3 0 - 4.1. - 27 -3, -5% 0 , 0 -53 -3.-4.1, -7 2
    10·1 answer
  • Geometry help PLEASE!!!! 20 POINTS HELP!!’
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!