Solve the system of equations x+y=-8 and -9x-6y=60 by combining the equations

Answers

Answer 1

Answer:

x = - 4    y = - 4

Step-by-step explanation:

x+y= - 8

-9x-6y=60

First, solve for x in the first equation:

x+y = - 8       Subtract y from both sides

x + y - y = -8 - y    y cancels on the left

x = - 8 - y

Now plug in what you found for x into the 2nd equation and solve for y.

- 9x - 6y = 60

-9(- 8 - y) - 6y = 60   Multiply out

72 + 9y - 6y = 60

72 + 3y = 60  Subtract 72 from both sides

72 - 72 + 3y = 60 - 72    72 cancels on the left

3y = - 12     Divie both sides by 3

3y/3 = -12/3     3 cancels on the left because 3/3 = 1

y = -4

Now plug your answer for y back into the first equation to get x.

x + y = -8

x + (-4) = - 8  Add 4 to each side

x - 4 + 4 = - 8 + 4   4 cancels on the left

x = -4

x = - 4 and y = - 4


Related Questions

Find the surface area of the triangular prism

Answers

Answer:

169 cm^2

Step-by-step explanation:

Right surface (rectangle)

A = LW = 7 cm * 5 cm = 35 cm^2

Left surface (hidden rectangle)

A = LW = 7 cm * 5 cm = 35 cm^2

Bottom surface (hidden rectangle)

A = LW = 9 cm * 5 cm = 45 cm^2

Front face = back face = 2 * triangle

A = 2 * bh/2 = 2 * 9 cm * 6 cm/2 = 54 cm^2

total surface area = 35 cm^2 + 35 cm^2 + 45 cm^2 + 54 cm^2 = 169 cm^2

Point K is on line segment JL. Given KL = 7 and JL = 11, determine the length JK.

Answer: JK=

Answers

Answer:

4

Step-by-step explanation:

11 - 7 = 4

The required length of JK is 4 units.

It is required to find the length of JK.

What is length?

Length is defined as the measurement or extent of something from end to end.  The greater of two or the greatest of three dimensions of an object. It can be measured in different units like centimeters, inches, meters, etc.

Given:

Point K on the  line segment  JL.

KL = 7

JL = 11

As per segment addition postulate

JL = JK + KL

Substituting values, to find the value JK we get,

11 = JK + 7

JK = 11 - 7

JK = 4

Therefore, the required length of JK is 4 units.

Learn more about length here:

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39. Given: p: x is greater than 20. q: x is divisible by 5
What is the truth value of p^ when x is replaced by 25?
p^q is sometimes true
Not enough information is provided.
p^q is true
p^q is false

Answers

Answer:

p ^ q is  true

Step-by-step explanation:

25>20 so p is true

25 is  divisible by 5 so q is true

p ^ q is  true

Kane is training for a marathon. He starts by running 3 miles during every train session. Each week plans to increase the distance of his run by 1/4 mile.

Answers

Since a marathon is 26 miles that means that we would get 26=1/4x+3 so we would subtract 3 from both sides so you would get 23=1/4x then we would multiply 4 from both sides and we would get that it would take him 92 weeks to get to a marathon

Answer: look at the picture

Step-by-step explanation: Hope this help

A(7.2) maps to A (10,-1) through a translation. B'(2, 4) is the result of the same
translation on point B. What are the coordinates of point B?

Answers

It’s a because 7.2 is the maps to a 10,1

A catering company provides a quote for $210 worth of finger food for an afternoon function with 29 people. What is the rate of dollars per person? (Round to the nearest cent, and include appropriate units in your answer)

Answers

answer:

about $7.24 per person

reasoning:

divide 210 by 29 and round to the hundredths place

Evaluate the following expression.
-8 - 10 x ( - 7 )

Answers

Your answer would be 62

Fill in the missing series
4,8, 28,80,244,......

Answers

333 is the answer I think

Answer:

728.

Step-by-step explanation:

extremely hard to explain but i am sure that it is correct :)

PLEASE HELP DUE IN % MINUTES Choose the answer that makes the sentence true. (Blank) real numbers are integers. A. All B. Some C. No

Answers

Answer: The real numbers include natural numbers or counting numbers, whole numbers, integers, rational numbers (fractions and repeating or terminating decimals), and irrational numbers. The set of real numbers is all the numbers that have a location on the number line. Integers …, −3, −2, −1, 0, 1, 2, 3, and so on. All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.

Step-by-step explanation: A. ALL

Wen says the function is continuous, because the number of people is unlimited. Is Wen right or wrong? Explain.

Answers

Answer: Wrong

Step-by-step explanation:

Continuous means every value is included. Since fractions of people do not exist, it cannot be continuous.

Wen is wrong.

It is given that ; according to Wen a function is continuous because number of people are unlimited.

We have to tell that whether Wen is right or wrong ?

What is a continuous function ?

A continuous function, is a function whose graph is continuous without any breaks or jumps.

We know that ;

A continuous function in calculus is continuous at a point x = a ; if the curve of the function does NOT break at the point x = a.

We can also say that , continuous means every value is included.

Since fractions of people don't exist, i.e., unlimited , So, it cannot be continuous.

To learn more about continuous function click here ;

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Perform the indicated operation and simplify the result.

b^2 - 3b - 10 B-2
——————— • ——-
(B - 2)^2 B-5

Answers

Answer:
b+2/b-2

Step by step explanation:

HELP ME PLEASE I NEED THIS LOVE U GUYS <33

Answers

Answer:

[tex]\huge\boxed{\sf Volume = 384 \ cm^3}[/tex]

Step-by-step explanation:

Slant Height = 10 cm

Base Edge = 12 cm

Finding the Height using Pythagorean Theorem:

[tex]\sf c^2 = a^2 + b^2 \\\\Where \ c = 10\ cm , b = 6\ cm [Half of 12] \ and \ a \ is \ height\\\\10^2 = a^2 + 6^2\\\\100=a^2 +36\\\\100-36 = a^2\\\\64 = a^2\\\\Taking \ sqrt \ on \ both \ sides\\\\Height= 8 \ cm[/tex]

[tex]\rule[225]{225}{2}[/tex]

Now, Finding the volume:

[tex]\sf Volume = a^2 \frac{h}{3}\\\\ Where \ a \ is base \ edge \ and \ h \ is \ height\\\\Volume = (12)^2 \frac{8}{3} \\\\Volume = 144 \frac{8}{3} \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Which of the following is the solution to 4 | x+3|2 8 ?

Answers

Step-by-step explanation:

|x + 3| = 2

x = -1 or x = - 5..............

hello please help, thank you<33​

Answers

Answer:

In the word "Beautiful", there are 9 letters and 5 vowels.

So we get the fraction [tex] \frac{5}{9} [/tex]

Step-by-step explanation:

Hey there!

No. of vowels = 5

No. of letters in word "BEAUTIFUL " = 9.

Now,

Fractional form of this word is:

[tex] = \frac{5}{9} [/tex]

Hope it helps...

Which equations are related equations to x+5=34

Answers

Steps to solve:

x + 5 = 34

~Subtract 5 to both sides

x = 29

Best of Luck!

Find the sum of 4x2 – 7 and 6x2 – 5.

Answers

Answer:

the answer is 1 and 7

Step-by-step explanation:

4 times 2 is 8 -7 =1

6 times 2 =12 -5 =7

Answer:

First problem equals 1 and second problem equals 7.

First multiply 4x2 to get 8, then subtract it by 7.  That would leave you with 1.

Now, 6x2 would be 12 minus 5 which would equal 7.

the quotient of n and 2 is 6 times n

Answers

Answer:

n/2 = 6n

Step-by-step explanation:

"quotient of n and 2" is n/2, and

"6 times n" is 6n

and so we get the final answer

 n/2 = 6n

If x = 2 and y = −3, then −x y² = A) −36 B) −18 C) −12 D) 12 E) 18

Answers

Answer: E

Step-by-step explanation:

(-3^2) multiply -3 by itself to get -9

Now you have -2 x -9 or -2(-9)

Remember that multiplying a negative by a negative will get you a positive because the two negative signs are canceled out.

So -2(-9) gives you 18

Hope this helps!

I just need the answer

Answers

Answer:

28

Step-by-step explanation:

The answer should be 28.

1 and 2 thirds + 1 and a half ?

Answers

Answer:

19/6

Step-by-step explanation:

1 2/3= 5/3 = 10/6

1.5= 3/2= 9/6

10/6+9/6=19/6

plz help i wil mark u banlyest

Answers

Answer:

B

Step-by-step explanation:

when you flip across the y axis you change the signs of the x coordinate but not the y coordinate.

What are the possible steps involved in solving equation shown ?
3.5 + 1.2(6.3-7x) =9.38

Answers

Answer:

x = 0.2

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

3.5 + 1.2(6.3 - 7x) = 9.38

Step 2: Parenthesis (distribute)

3.5 + 7.56 - 8.4x = 9.38

Step 3: Combine like terms (constants)

11.06 - 8.4x = 9.38

Step 4: Subtract 11.06 on both sides

-8.4x = -1.68

Step 5: Divide both sides by -8.4

x = 0.2

determine sen 0 y tan 0,si 0= 2/3 y cot 0>0

Answers

Answer:

the answer of your question is 0

Step-by-step explanation:

the answer is 0

9x-6y=-20 through (0,-4)

Answers

To make the equation go through (0,-4) the new equation would be 9x + 5y = 20. We needed to change it from subtracting to adding so the direction of the line would go from going down to up too up to down. In slope-intercept form the original equation would be found by the following.

9x - 6y = 20

-6y = 20 - 9x

y = -20/6 - (-9/6x)

y = 9/6x - 20/6

y = 3/2x - 10/3

To make the perpendicular line, take the slope and apply the opposite and reciprocal.

y = -2/3x - 10/3

Best of Luck!

PLSSS HELPPPPP I WILL GIVE BRAINLIESTTTT!!!!!!!

Answers

Answer:

Step-by-step explanation:

We can form a table for the relation between muffins sold and days of the week given in the graph.

Days                    Muffins sold

Monday                       5

Tuesday                      6

Wednesday                 5

Thursday                     8

Friday                          10

Saturday                      13

Sunday                        15

This data reflects the sales of muffins are increasing continuously in the given week.

Therefore, number of muffins sold are directly proportional to the number of days of the week.

what is -5 + (-10) = ? solve answer this problem

Answers

-5+-10 can also be written as -5-10.

An easy way to do it(this is how I solve it) is to add it like 5+10 then slappa a negative sign in front.

5+10=15

-15

hope it helps!

the triangle shaped entrance to the cavern i 1 1/2 feet tall and 4 feet wide whats the area

Answers

A=1/2 b*h
So substitute it in 1/2*1/2*4
1/2*1/2= 1/4
1/4*4= 4/4= 1 so the entrance is 1 foot tall
When an individual specializes to produce one good, and then acquires additional desired goods from other specialists

A) both parties gain as a result of voluntary exchange.
B) both parties gain as a result of fraudulent exchange.
C) neither party gains as specialization decreases efficiency.
D) neither party gains as specialization decreases productivity.

Combine the like terms to create an equivalent expression:
-49 - (-89) + 10

Answers

Answer:

60

Step-by-step explanation:

−5y ^2+5−4−4y^2+5y^2−4x^3 −1

Answers

Answer:

In simplified/simplest form and in descending order, your answer would be: -4x^3 - 4y^2. Hope this helps!  

The answer is -4y^2-4x^3

There are 8 soccer teams for the 110 players in the league. The league wants the same number of players on each team. Which explains whether or not it is possible?

A. It is possible to split the players into 8 teams because each team would have 13 players.
B. It is possible to split the players into 8 teams because each team would have 14 players.
C. It is not possible to split the players into 8 teams with the same number of players. It would be possible if there were a total of 100 players.
D. It is not possible to split the players into 8 teams with the same number of players. It would be possible if there were a total of 120 players.

Answers

Answer:

The answer is D

Step-by-step explanation:

When you divide 110 by 8 that equals 13.75 but when you divide 120 by 8 you get 15.

Hopefully this helps you :)

Answer: the answer is ;D

Step-by-step explanation: it is not possible to split the players into eight teams.with the same number of players it would b possible if there were 120 players.

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