Solve the system of equations – 5x + y = 56 and x + y = -4 by combining the
equations.

Answers

Answer 1

Answer:

Your solution is (-10, 6).

Step-by-step explanation:

Combining the equations is also known as substitution. This is done when you substitute one variable into another equation.

-5x + y = 56

x + y = -4

Let's change the second equation into one with one variable on each side.

y = -x - 4

Now, plug this into your first equation.

-5x + (-x - 4) = 56

Distribute the + sign.

-5x - x - 4 = 56

Combine the like terms.

-6x - 4 = 56

-6x = 60

Isolate x by dividing both sides by -6.

x = -10

Now plug this back into either equation.

-10 + y = -4

Add 10 to both sides to find y.

y = 6

Your solution is (-10, 6).

Check this by plugging in these values into the equation you have not checked yet.

-5(-10) + (6) = 56

50 + 6 = 56

56 = 56

Your solution is correct.

Hope this helps!

Answer 2

Answer:

x=-10; y=6

Step-by-step explanation:

combine the equations:

-5x + y + x + y = 56 +(-4)

-4x + 2y = 52

add 4x to each side

2y=52+4x

divide by 2

y=26+2x

now substitute 26+2x for y in the second equation:

x + 26 + 2x = -4

3x + 26 = -4

3x = -30

x = -10

therefore y = 6


Related Questions

The mayor's office held a community day for the study there were 392 people that attended 105 for those people were adults 89 boys the rest were girls how many girls were there

Answers

Answer:198 Girls were there

Step-by-step explanation:

Total number of people tthat attended the study = 392

Number of adults = 105

Number of boys = 89

Number of Girls= Total number of people attended the study - ( Number of adults + Number of boys)

392- ( 105+89)

392- 194

=198 Girls

Solve the equation:
M/4 +8=41

Answers

Answer:

m = 132

Step-by-step explanation:

(m / 4) + 8 = 41

(m / 4) = 33

m = 132

Step-by-step explanation:

m/4=33

m=33×4=132

,,,,,,,

an equation has a slope of -14 and passes through the point, (1,0) what is the slope of the equation of the line when written in slope-intercept form

Answers

Answer:

y= -14x +14

Step-by-step explanation:

Answer:

y= -14x +14

Step-by-step explanation:

pls solve these in the answer section i will give brianliest PLSSSSS

5.832 divided by 4

394.6 divided by 2


25.37 x 3.8

Answers

Answer:

0.00002237616

Step-by-step explanation:

5.832 divided by 4 = 1.458
394.6 divided by 2 = 197.3
25.37 x 3.8 = 96.406

Find the slope from the given table:
х Y
-3. 8
0. 7
3. 6

Answers

The answer is plus +3 for slope
Well, if we were to calculate slope from a graph, then we would look at the rise/Run but since we have to calculate it from a table of values, we will look at the first differences. In rise/Run, the rise is the Y while the X is the run so, on that basis, we can calculate the slope it rate of change from this table of values.
1. Rise = Y
We can see that each time that we are going to the next term, we are subtracting by and going down by 1 so, our rise is -1 while when we look at our run, each time, we are adding 3 units to get to the next term, so our Rise/Run would by -1/3.

So, in conclusion, the slope from the given table is: -1/3.

Plz any math genius help me with this question ASAP

Thank you so much

Show all working

Plz help me pass

Answers

Answer:

418

Step-by-step explanation:

first row = 13 chairs

next 15 rows are 15 chairs each so

15 x 15= 225

the remaining rows are 10 and they have 3 extra chairs so 18 chairs and 10 remaining rows

10x 18=180

now add 13+225+180=418

hope this helps

HELP I NEED HELP ASAP

The length of a rectangle is 5 more than twice the width. The perimeter is 76. What is the length?

Answers

the answer is 27. if you take the clues given in the question, the equation for the length will be ‘2w+5’. add all of the w’s for width around and the constants and your equation will the become 6w+10=76. after you find the width, plug it into ‘2w+5’ and you will get your length.

Jasmine has 50 marbles in a bag. 20% of the marbles are blue. How many marbles are not blue? Explain how you found your answer.

Answers

Answer:

20% of 50 marbles is 1 fifth of the marbles in the bag. so 50 marbles divided by 5 =10 blue marbles

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

WOW, that's a lot of points!!

To find the answer for this problem, you take 80% of 50.

In the bag, 20% of the marbles are blue. That means that the rest of the 80% are not blue. So, take 0.8 * 50 = 40. 40 marbles that are not blue.

what would 4xy + 6y be? factoring and its not what i thought the answer was fdkjdfnds

Answers

LOL the answer is 10xy

Answer:

10xy^2

Step-by-step explanation:

Collecting like terms, 6+4=10 and the two y's will make y^2

Which statement BEST describes the function notation f(10)=3/2?

A. The output is 3/2 when the input is 10.
B. The output is 10 when the input is 3/2.
C. The output is f(x) when the input is 10.
D. The output is f(3/2) when the input is 10.

Answers

Answer: the answer is C I took the test

Step-by-step explanation:

The answer is Option A.

The output is 3/2 when the input is 10

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be f ( x ) = y

f ( x ) = f ( 10 ) = 3/2

So , the value of the function at x = 10 is y

Now , when the value of x is equal to 10 , the input is 10

And the function gives an output of 3/2 which is the value of y

Hence , the function gives an output of 3/2 when the input is 10

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ6

2. Find the distance between point A and point B.

5 units
6 units
7 units
8 units

Answers

7 units
You’d count each line going up until you reach the other dot. Or take the number the dot is on and subtract it to the other dots position.

mr.torres is 6 1/4 feet tall. Mr. torres is 5 1/2 feet tall. How much shorter is Mrs. torres than her husband PLEASE HURRY!

Answers

Answer: 3/4

Step-by-step explanation: 6 1/4 - 5 1/2

Answer: The answer is 1 2/8

Step-by-step explanation:

5 1/2    X    4/4     =   4/8               So the answer is 1 and 2/8

6 1/4     X   2/2     =   2/8

6 4/8

-

5 2/8

___

1  2/8  

Chamoy drove 585 miles in 9 hours. Freddy drove 605 miles in 11 hours. Who drove at a faster rate?

Answers

Answer:

Chamoy

Step-by-step explanation:

585/9= 65

605/11= 55

this year benny is 12 years old and his mom is 48 years old, what percent of Benny's age is his mom's age?​

Answers

25% should be correct

Answer: 12% because 12% is half of 48% if not I’m sorry

Pls help I’ll give BRAINLIEST

Answers

Answer:

I got 12 for this question...

Step-by-step explanation:

Please please give me brainliest (and have a wonderful day!)

15 POINTS-

Karen invented a new product that she makes for $2.45. She sells the
product to Walmart marked up 45%. How much does Walmart pay for the
product?

Answers

I think it’s $3.55
I think this because if u subtract 2.45- 45% = 1.10 sooo u will have to add $1.10 to 2.25 and that will add up the 45% that Walmart is paying with the original price.

write this repeating decimal as a fraction.

0.41 repeating

simplified completely

Answers

Answer:

41/99

Step-by-step explanation:

Simplest form of the number 0.41 repeating; 41/99

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

We are Given that 0.41 repeating.

Consider x = 0.41, then multiply both sides of this equation by 100 to remove the decimal point:

100x = 41.41

Simplifying;

99x = 41

Dividing both sides by 99;

x = 41/99

Learn more about the fraction visit:

brainly.com/question/5454147

#SPJ2

how long will it take a rocket traveling at 8 km/s to reach 20 km?

Answers

Answer:

2.5 km/s

Step-by-step explanation:

Answer:

Step-by-step explanation:

It depends on velocity of rocket if its speed is 3*10^8 m/s then it will take 30 years and if velocity is different than can find from speed=distance/time .

please help I am not sure what the answer is

Answers

The answer is c hope this helps
Hello
The correct answer is c.
I think

Convert the following equation into slope intercept form. 3x + 21y = 21 Stars

Answers

Answer:

y = -(1/7)x + 1

Step-by-step explanation:

[tex]3x + 21y = 21 \\ 21y = 21 - 3x \\ y = \frac{21 - 3x}{21} \\ y = 1 - \frac{1}{7} x \\ y = - \frac{1}{7} x + 1[/tex]

Expresa como intervalo de solución de la desigualdad 5≤x-2≤7 *



[7,9]

[7,5)

[-7,9]

(7,9)​

Answers

Answer:

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Step-by-step explanagggggggggggggggggggggggggggggggggggggggtion:

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kkkkkkhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

g(x) = –2x – 4, fild g(6).

Answers

Answer:

-16

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

calculate the value of 1/3 a = -5

Answers

Answer:

- 15

Step-by-step explanation:

[tex] \frac{1}{3} a = - 5 \\ \\ a = - 5 \times 3 \\ \\ a = - 15[/tex]

Answer:

-15

Step-by-step explanation:

As you can see, the denominator of 1/3 is 3. 1 third of a is -5. So what you do is, you multiply -5 * 3 and that'll give you -15. So, it is equal to -15.

2) pls help me determine the value

Answers

Answer:

The answer is B

Step-by-step explanation:

When you add two negatives together you get a negative

Hi! So my class is starting Trinomials and I don’t understand it. We have to fill out this chart and I don’t know how. Can someone please help or explain it to make it easier. PLEASE HELP

Answers

Answer: To factor a trinomial in the form x2 + bx + c, find two integers, r and s, whose product is c and whose sum is b. Rewrite the trinomial as x2 + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).

Step-by-step explanation:

You would find two numbers that when added would be the sum and when multiples it would equal teh given product. For example, q) is -4 and -5 since when added they equal -9 and when you multiple they become 20.

can someone help me on this ???

Answers

Answer:

x=4x-16 is what you get after you distribute

Step-by-step explanation:

2 by 2 is 4

2 by 8 is 16

the last one x=4x-16

Find the missing side. Round to the nearest tenth.

Answers

Answer: 23.7

Step-by-step explanation:

Let's calculate the acute angle at the base of the triangle:

180° - 90° - 40° = 50°

Find side x:

[tex]\dfrac{sin \: 90^{o} }{31} =\dfrac{sin \: 50^{o} }{x}\\\\sin \: 90^{o} \cdot x=sin \: 50^{o} \cdot 31\\\\sin \: 90^{o} =1\\sin \: 50^{o} \approx 0.766\\1 \cdot x =0.766 \cdot 31\\x=23.746\\23.746 \approx 23.7[/tex]

Which table has a constant of proportionality between y and 2 of 0.3?
Choose 1 answer:
y
6
2
12
4
30 10
2
y
3 1.8
7 4.2
9 5.4
y
1.2
4
8
2.4
13 3.9

Answers

Answer:

The question is unclear. Please provide the table.

five more than three times a number is 17

Answers

The number (x) in: "5 more than three times a number is 17" is what we are solving here.

In other words, you are looking for a number (x) that if you multiply it by three (same as three times) and then add 5, you get 17.

To solve this, you first write the problem as an algebra equation as follows: 3x + 5 = 17

Then you solve the equation by subtracting 5 from both sides, and then divide both sides by 3. Here is the math to illustrate better:

3x + 5 = 17

3x + 5 - 5 = 17 - 5

3x = 12

3x/3 = 12/3

x = 4

Answer = 4

1 1/2 divided by 2 1/4​

Answers

1 1/2 : 2 1/4
= 3/2 : 9/4
= 3/2 x 4/9
= 2/3
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