Two numbers have a difference of 13. The sum of twice one number and 3 times the other number is 1. Write a system of equations and solve the system to find the two numbers. You need not show 7 steps for this problem. Just show the system, solve the system, and write the two numbers.

Answers

Answer 1

Answer:

first number = 8

second number = -5

Step-by-step explanation:

Let

x = first number

y = second number

Two numbers have a difference of 13.

x - y = 13

The sum of twice one number and 3 times the other number is 1

2x + 3y = 1

x - y = 13 (1)

2x + 3y = 1. (2)

From (1)

x = 13 + y

Substitute into (2)

2x + 3y = 1.

2(13 + y) + 3y = 1

26 + 2y + 3y = 1

26 + 5y = 1

5y = 1 - 26

5y = -25

y = -25/5

y = -5

Substitute y = -5 into (1)

x - y = 13

x - (-5) = 13

x + 5 = 13

x = 13 - 5

x = 8

Answer 2

The obtained number is 12. And the system of equations is 2c + 4p = 40

How to solve system of equations ?

Although each chicken has two legs and each pig has four legs, the total number of animal legs is:

2c + 4p = 40

Once we simplify the above equation, we get

c + 2p = 20

We also know that there are 16 animal heads in total, which can be expressed as:

c + p = 16

We can solve for "c" that use these two equations.

Once we multiply the second equation by 2, we get:

2c + 2p = 32

Once we subtract this equation from that, we get:

2p = 8

Once we solve for "p," we get:

p = 4

Substituting this "p" value into the second equation yields:

c + 4 = 16

Once we solve for "c," we get:

c = 12

As an outcome, your parents hold 12 chickens.

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Related Questions

PLS HELP ASAP



6x - 8 = 40 pls evaluate

Answers

Answer:

X = 8

Step-by-step explanation:

6 x 8 = 48 - 8 = 40 so 8 is your answer

Apply the distributive property to create an equivalent expression.
( 1 -2g +4h)\cdot 5 =(1−2g+4h)⋅5

Answers

Given:

The expression is

[tex](1-2g+4h)\cdot 5[/tex]

To find:

The equivalent expression.

Solution:

Distributive property of multiplication over addition is

[tex]a(b+c)=ab+ac[/tex]

Where, a, b and c are real numbers.

We have,

[tex](1-2g+4h)\cdot 5[/tex]

Using distributive property, we get

[tex]=(1)\cdot 5+(-2g)\cdot 5+(4h)\cdot 5[/tex]

[tex]=5-10g+20h[/tex]

Therefore, the expression [tex]5-10g+20h[/tex] is equivalent to the given expression.

Answer:

5-10g+20h

Step-by-step

Please give Brainliest :)

WILL MARK YOU BRAINLIEST

Answers

Answer:

the answer is 3/2

Step-by-step explanation:

...........

The US spends on average 1.2 x 10² dollars on each student per year. There are
about 7.7 x 107 students in the United States. About how much money is spent on
students each year?

Answers

7.7 x 107=823.9 1.2 x 10^2=120 824 x 120=98880

what is the solution to the system y= 2x-3 y= -x+3

Answers

You would have to step up your problem like this 2x-3=-x+3, then you add -x to both sides. So, the problem will look like this 3x-3=3 then add to both sides. The ending problem will look like this 3x=6 then divide 3 to both sides then your answer is 2! Hopefully this is correct!

Complete the equation so that it had infinitely many solutions

Answers

Answer:

1 - z/3

Step-by-step explanation:

3
Find the slope and y-intercept from the following graph of a linear equation.

Answers

Answer:

A. Slope = 4 and y-intercept  = 3

What is the x value in the follow system?
3x - y = 7
2x + y = 3

Answers

Answer:

x=2

Step-by-step explanation:

Two trains leave stations 432 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels at 100 miles per hour. How long will it take for the two trains to meet?

Answers

Answer:

The trains will meet in 2.4 hours.

Step-by-step explanation:

To cover 432 miles at 180mph: 432mi/180mph=2.4 hours

The ice cream vendor 's cold box holds 24 ice cream cups. The
freezer has 8 cases of ice cream each with 48 cups. How many
trips to the freezer will the vendor make if he sells all the ice cream?

Answers

Answer:

16

Step-by-step explanation:

24/8=3

48/3=16

Solve for
2x - 5 = 6
a. X= %
b. X = 11/2
C. X = 9
d. X = 6
Do u divide by 6

Answers

it would be B. add 5 to both sides, then it would be 2x=11. then divide by 2 to both sides. the most simplified answer is 11/2 i’m pretty sure.

Answer:

x=11/2

Step-by-step explanation:

HURRY PLSS HELP!!! will give brainliest for right answer!
Drag and drop the answer into the box to identify each function as linear, exponential, or neither.

Answers

9514 1404 393

Answer:

ExponentialNeither

Step-by-step explanation:

The first function has terms with a common ratio of 1/4. It is an exponential function.

__

The terms of the second function have neither a common ratio nor a common difference. It is neither exponential nor linear.

What is the quotient?
- -2

Answers

Answer: You need 2 terms so there isn't one

The term "quotient" is most commonly used to refer to the ratio of two quantities and , where. . Less commonly, the term quotient is also used to mean the integer part of such a ratio.

Step-by-step explanation:

Translate this sentence into an equation. The sum of 11 and Greg's height is 60. Use the variable g to represent Greg's height.

Answers

Answer:

g+11=60

Sum=11

Sum= +

Height is =60

What fraction of 16 is 12?

Answers

Answer:

3/4

Step-by-step explanation:

What is the anwser to: h + 5.7 = −5.7

Answers

answer:
-11.4

explanation:
h + 5.7 = -5.7
subtract 5.7 from both sides

h = -11.4

Answer:

h=-11.4

Step-by-step explanation:

because, 5.7+-5.7=-11.4

Leyan bought 234 pounds of apples for $1.32 per pound, 112 pounds of peaches for $1.20 per pound, and some tomatoes, all from a grocery store. The total cost of his purchase was $9.63. How much money did Leyan spend on tomatoes?

Answers

Answer: See explanation

Step-by-step explanation:

I think your question isn't well written and that 234 was meant to be 2.34 and 112 was meant to be 1.12

Let the amount spent on tomatoes be x.

The information given in the question can then be used to form an equation as thus:

Apples + Peaches + Tomatoes = $9.63

(2.34 × $1.32) + (1.12 × $1.20) + x = $9.63

$3.0888 + $1.344 + x = $9.63

x = $9.63 - ($3.0888 + $1.344)

x = $9.63 - $4.4328

x = $5.1972

The amount spent on tomatoes will be $5.1972

Answer:

The answer is 4.2 I did this question already

Step-by-step explanation: You multiply 2 3/4 and 1.32 and then add that to the product of the 1 1/2 peaches for 1.20 per pound, then subtract the answer from 9.63 to get the solution for x.

camila drew a triangle with a side that is 24 inches long and a side that is 18 inches long. which of the following could be the length of the third side of a triangle that camila drew?

Answers

Formula: a^2+b^2=c^2
Plug in: 24^2+18^2=c^2
Exponents: 576+324=c^2
Add: 900=c^2
Square root: c=30
So the answer is 30 inches

What is the degree of the polynomial below?
4x2+3x2 +6x+5
A. 3
B. 0
C. 1
O D. 2

Answers

The degree is 2 because the highest exponent in the polynomial is 2

solve for x joe thank you Joe Joe mama​

Answers

The first step that we must take before attempting to solve almost any problem is to determine what the problem statement is asking us to do and what they are giving to us to help finish the problem.  Looking at this question we can see that they have requested for us to solve for x and we were provided with a figure.

After understanding what the problem is asking for us to do we can attempt to solve the problem.  We can see that there are two angles on a straight line and this is known as supplementary angles.  Let us define what supplementary angles are.

Supplementary Angles ⇒ Supplementary Angles are two angles that are formed on a straight line causing them to add up to 180 degrees. Therefore, an expression can be made where the two angles add up to 180 and it can be solved for the unknown.

In this case we don't have a missing angle but rather a variable that makes up each of the angles.  Using a similar concept we can create an expression with 4x - 6 and 2x and have them combined to equal to 180.  After that we can solve for the unknown which in turn would give us x.

Create an expression

[tex]Angle_1 + Angle_2 = 180[/tex][tex](2x) + (4x - 6) = 180[/tex]

Combine like terms

[tex]2x + 4x - 6 = 180[/tex][tex](2x + 4x) - 6 = 180[/tex][tex](6x) - 6 = 180[/tex]

Add 6 to both sides

[tex](6x) - 6 + 6 = 180 + 6[/tex][tex](6x) = 180 + 6[/tex][tex]6x = 186[/tex]

Divide both sides by 6

[tex]\frac{6x}{6} = \frac{186}{6}[/tex][tex]x = \frac{186}{6}[/tex][tex]x = 31[/tex]

Therefore, after creating an expression and then simplifying it down all the way to just have the value of x equal to something we were able to determine that the unknown variable of x is equal to 31.

[tex]\huge\text{Hey there!}[/tex]


[tex]\text{Your equation: }\rm{(2x) + (4x - 6) = 180^\circ}\\\large\text{SOLVING for the x-value}\\\rm{2x + 4x - 6 = 180^\circ}\\\large\text{COMBINE the LIKE TERMS}\\\rm{(2x + 4x) + (-6) = 180^\circ}\\\rm{2x + 4x - 6 = 180^\circ}\\\rm{6x - 6 = 180^\circ}\\\large\text{ADD 6 to BOTH SIDES}\\\rm{6x - 6 + 6 = 180 + 6}\\\large\text{SIMPLIFY IT!}\\\rm{6x = 180 + 6}\\\rm{6x = 186}\\\large\text{DIVIDE 6 to BOTH SIDES}\\\rm{\dfrac{6x}{6} = \dfrac{186}{6}}\\\large\text{SIMPLIFY IT!}\\\rm{x = \dfrac{186}{6}}\\\rm{x= 31}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 31}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

2^2×3^2/2^-2×3^-1
plzz give answer​

Answers

Answer:

48

Step-by-step explanation:

The computation is shown below:

= 2^2×3^2 ÷ 2^-2×3^-1

= 4 × 9 ÷ 2^-2 × 3^-1

= 48

Hence, the given equation shows the answer of 48

So the same would be considered and relevant too

Therefore the 48 is the answer

Which vectors represent the reflection of the vector <3, -7> across the x-axis? A. [3/7} B. [-3/7] C. <-3, 7> D. <3, 7> E. [7/-3] F. <7, -3>

Answers

Answer:

D)    < 3, 7)>

Step-by-step explanation:

Explanation:-

Given that the vector < 3 , -7 >

Given the vector reflection across the x-axis

                   (x,y) → (x , -y)

The vector < 3,-7> →< 3, -(-7)>

                  < 3,-7> →< 3, 7)>

What is the equation of the line perpendicular to Y= 1/2x +6 that passes through the point (4,1)

Answers

Answer:

Step-by-step explanation:

y= mx+b is the general equation where m is the slope

y= 1/2 x +6 has the slope 1/2

perpendicular lines have the slope negative reciprocal

so the slope of the ⊥ line is -2

y = -x +b , yet for point (4, 1) the x=4 and y =1

1= -4 +b so b= 5

the equation of the ⊥ line is y= -2x+5

If the NCUA charges 3.3 cents per 100 dollars insured and Credit Union M pays $5,995 in NCUA insurance premiums, approximately how much is in Credit Union M’s insured deposits?

Answers

6,000 is the answer to the question have a blessed day

Answer:

c

Step-by-step explanation:

Is the point \displaystyle (1,2)(1,2) a solution to the system of equations \displaystyle y-10x=-8y−10x=−8 and \displaystyle y=-8x+10y=−8x+10?

YES
NO

Answers

No because it’s just no
No that point is not

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Factor completely and then place the factors in the proper location on the grid.

4a2 - 8a - 5

Answers

Answer:

(2a-4) (a+9). I hope this helps you a lot :)

Which rule describes the composition of transformations that maps figure ABCDE to figure A" B" C" D" E"?​

Answers

Answer:

It would be the fourth choice.

Step-by-step explanation:

To get ABCDE to A'B'C'D'E', you need to reflect the shape across line M. Then to go from A'B'C'D'E' to A''B''C''D''E'', you need to rotate about point C 180⁰.

It was first reflected across the x axis which would be line m. And since point c is the same place for the two bottom images , after the reflection it was rotated on point c.

The answer should be the 4th choice

cuál es el resultado de 3/5 - 1/2?

A._ 1/10
B._ 2/7
C._ 2/3
D._ 4/7​

Answers

La respuesta es la C :

2/3

Someone plz help
And plz do the diagram
Giving brainliest

Answers

Sue ran the most, but you yourself need to draw an explanation, just so you know 3/8 is greater then 3/4 and 2/3

Answer:

Mary ran the farthest

Step-by-step explanation:

Look at Diagram :)

As the Diagram shows, Mary ran the farthest!

Hope this Helps!

3
4 -
8
5
1 -
8 797968686

Answers

whats the question so that we can help????

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