Solve by the substitution method.
6x + 8y = 0
-7x + y = 31

Answers

Answer 1

Answer:

(-4, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x + 8y = 0

-7x + y = 31

Step 2: Rewrite Systems

-7x + y = 31

Add 7x to both sides:                    y = 7x + 31

Step 3: Redefine Systems

6x + 8y = 0

y = 7x + 31

Step 4: Solve for x

Substitution

Substitute in y:                    6x + 8(7x + 31) = 0Distribute 8:                        6x + 56x + 248 = 0Combine like terms:           62x + 248 = 0Isolate x term:                     62x = -248Isolate x:                              x = -4

Step 4: Solve for y

Define equation:                    -7x + y = 31Substitute in x:                       -7(-4) + y = 31Multiply:                                  28 + y = 31Isolate y:                                 y = 3

Related Questions

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Answers

The answer is A) (3.1, 2.2)

Answer:

A

Step-by-step explanation:

Given the 2 equations

y = 2x - 4 → (1)

2x + 4y = 15 → (2)

Substitute y = 2x - 4 into (2)

2x + 4(2x - 4) = 15 ← distribute and simplify left side

2x + 8x - 16 = 15

10x - 16 = 15 ( add 16 to both sides )

10x = 31 ( divide both sides by 10 )

x = 3.1

Substitute x = 3.1 into (1) and evaluate for y

y = 2(3.1) - 4 = 6.2 - 4 = 2.2

solution is (3.1, 2.2 ) → A

If x= - 2 is a solution to the equation f(x) = g(x), which one of these statements must be true?
• The graphs of f and g intersect each other at x = -2
• The graphs of f and g intersect each other at x = 2
• The graphs of f and g intersect the x-axis at -2
• The graphs of f and g intersect at the y-axis at -2

Answers

Answer:

C

Step-by-step explanation:

need help ASAP!!!! last minute hw i need to do

Answers

Our range is all set of y-values. Focus on y-value only.

Our range is {1,5,-1,7,-2}

So the answer is 1, 5,-1,7 and 2

please help thanks in advance

Answers

Your answer would be answer A: 8

Answer:

length of each is 51

Step-by-step explanation:

they are congruent triangles so they are equilateral

therefore, you can set 7x - 5 and 5x + 11 equal to each other and solve for 'x'

2x = 16

x = 8

Substitute 8 into each expression and both come out to be 51

A person who weighs 160 pounds on Earth will weigh around 400 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth?​

Answers

Answer:

280

Step-by-step explanation:

subtract

Answer:300

Step-by-step explanation:

Which of the following equations represents the greatest value of x?


Equation 1
Equation 2
Equation 3
Equation 4
x2 = 35
x3 = 64
x3 = 125
x2 = 38
Equation 1
Equation 2
Equation 3
Equation 4

Answers

Answer:

equation 3

Step-by-step explanation:

Answer:

Equation 3

Step-by-step explanation:

125/3=41 which is the greatest

(can I get brainliest please)

If Koran and Mai start a bike trip at the same time, how far are they after 24 minutes?

Answers

(12, 32) i think this is the right answer

What is the fractional form for point A? Options: -3/4 -1/4 1/4 7/8
What is the approximate decimal form for point B? Options: 1.2 1.16 -1.16 0.857

Answers

Answer: A -3/4

B 1.6

Step-by-step explanation:

Answer:

A and B

Step-by-step explanation:

just did the quizz good luck <3

Someone please help I forgot how to do this

Answers

Can u send a close up picture I can’t see it

i will give brainliest

Answers

Answer:

5 th box 0: )

Step-by-step explanation:

Someone help me pls!!!!!!

Answers

Answer:B

Step-by-step explanation:

Find a vector that has the same magnitude as v.
v=lineAB with A=(4,0) and B=(7,4)
[A] t
[B] u
[C] w
[D] r

Answers

Should be D.

Both have a magnitude of 5

Go to calculatorsoup dot com and two dimensional distance calculator

standard form of 80000​

Answers

Answer:

8 × 10^4

Step-by-step explanation:

Count the number of zeros after 8.

Answer:

80,000= 8*10^4

Step-by-step explanation:

I hope this helps!!!!!

This formula gives the yearly depreciation D for
an item in terms of its cost C, its salvage value
S, and the number of years 71. Solve the
equation below for C.
C-S
De

Answers

Answer:

C = 71D + S

Step-by-step explanation:

The computation of the equation for C is as follows:

Given that

Yearly Depreciation = D

Cost = C

Salvage value = S

Number of years = 71

Based on the above information

The formula for the yearly depreciation i.e. D is

D = (C - S) ÷ 71

71D = C - S

71D + S = C

So, the equation would be

C = 71D + S

Nooooooooooooooooooooooo

Answers

Answer: yes

Step-by-step explanation:

Simply just yes

Answer:

YESSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS

Step-by-step explanation:

Tablets are on sale for 15% off original price with the function p(t)=0.85t

Answers

The answer would be 45% there you go

On considère les deux expressions A et B. A=4(x+5)-8 B=x au carré+15. Avec x=1,puis avec x=3, je trouve le même résultat pour A et B donc, quel que soit le nombre x, on a A = B. Emma a-t-elle raison ? Justifier la réponse.

Answers

Explication étape par étape:

Compte tenu des expressions ';

A = 4 (x + 5) -8

B = x² + 15

Nous devons vérifier si A = B pour les deux valeurs de x à x = 1 et x = 3

à quand x = 1

A = 4 (1 + 5) -8

A = 4 (6) - 8

A = 24-8

A = 16

B = x² + 15

B = 1² + 15

B = 1 + 15

B = 16

Donc à quand x = 1, A = B = 16

quand x = 3

A = 4 (x + 5) -8

A = 4 (3 + 5) -8

A = 4 (8) - 8

A = 32-8

A = 24

B = 3² + 15

B = 9 + 15

B = 24

Également lorsque x = 3, A = B = 24

Cela montre que le postulat d'Emmas est juste.

In a basketball game, the home team was down by 9 points at the end of the game. They only scored 6 points for every 7 points the visiting team scored. What was the final score of the game? Type both answers with a comma inbetween. Show your work below.

Answers

The final score of the basketball game is  (54, 63).

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, They only scored 6 points for every 7 points the visiting team scored

and they differ by a total of 9 points.

Therefore, The final score would be 6×9, 7×9.

= (54, 63).

If we take the difference between 63 and 54 it would be 9.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

Use the function g(x) = -5x + 17 to answer the questions.
Part B
What is g(-5)?
a
-60
b
--8
с
12
42

Answers

Answer:

42

Step-by-step explanation:

g(-5)=-5.-5+17

=25+17

=42

Answer:

42

Step-by-step explanation:

g(x) = -5x+ 17

g(-5) = -5 × -5 +17

g(-5) = 42

Write an equation in slope intercept form to
model the function.
Write in slope-intercept form,
y=mx+b

1
,
6
,
2
,
30
,
3
,
5
,
44
,
78

Answers

Answer:

y=6x

Step-by-step explanation:

y=mx+b

y=6x+b

b=y-intercept

m=slope

y-intercept =(0,0)

which phrase is usually associated with addition​

Answers

The tots of two numbers, or you know the communitive property

Who is ~Satori Komeiji~ ?

Answers

Answer:

is a character from Touhou Project debuting in the video game, Subterranean Animism. She is the Mistress of the Palace of the Earth Spirits after the underground city was separated from Hell.

Step-by-step explanation:

Answer:

She is  the Mistress of the Palace of the Earth Spirits. And in turn is a n anime character

Step-by-step explanation:

2 to the -3 power over 2 to the -2 multiply 2 to the 6 power.

Answers

Step-by-step explanation:

Please gimme brainliest

I hope it's correct

Luna entered a raffle for a new pair of running shoes. She purchased 20 tickets and was told that she had a 20% chance of winning. How many tickets were sold? P (Luna winning) = StartFraction Number of tickets purchased over Total number of tickets sold EndFraction. 20 percent = StartFraction 20 over x EndFraction. One-fifth = StartFraction 20 over x EndFraction. x = tickets

Answers

Answer:

100 tickets

Step-by-step explanation:

Probability of winning = amount of tickets purchased/Total number of tickets

20% = 20/total number of tickets

20/100 = 20/total number of tickets

cross multiply

20 * total number of tickets = 20 * 100

20 *  total number of tickets = 100

total number of tickets sold = 100 tickets

Answer:

100 tickets

Step-by-step explanation:

Hi and goodbye

PLEASE HELO ME I NEED HDLP PLEASE

Answers

Answer:

what's that 120 which angle is that

Step-by-step explanation:

Triangle AGB has Angle AGB = 120° and AG = GB. (given)

Since it is isosceles, x = (180° - 120°)/2 = 30°.

Can anyone help Me with this?

Answers

Answer:

Mean is 13.5

Median is 10

Step-by-step explanation:

Answer:

Mean: 13.5

Medain: 10

Sara had 40 candies. She wanted to give to her friends. She each gave her friends 10 candies each. How many friends does she have??

Answers

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Hey mate 4 is your Answer

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[tex]Mark \: me \: as \: brainliest .[/tex]

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Answer:

4 friends

Step-by-step explanation:

SO 2 chairs are left out. If there are 4781 chairs, find the
The cost of levelling a square lawn at 32 per sq. metre is 3 6272. Find its one side. Also find the cost of
fencing it at 3 per meter. ​

Answers

Answer:

u need 2321 chairs

Step-by-step explanation:

there u go

What is the next term of the arithmetic sequence? -3,0,3,6,9,−3,0,3,6,9,minus, 3, comma, 0, comma, 3, comma, 6, comma, 9, comma

Answers

Answer:

12

Step-by-step explanation:

Given the arithmetic sequence :

-3,0,3,6,9

Using the relation :

Tn = a + (n- 1) d

d = common difference = t2 - t1 = 0 - (-3) = 3

The next term = 6th term ; n = 6

a = first term

T6 = - 3 + (6 - 1)3

T6 = - 3 + (5)3

T6 = - 3 + 15

T6 = 12

Find the midpoint. Help pleaseeee

Answers

Answer:

0.5

Step-by-step explanation:

Co-ordinate of the mid point of the segment whose co-ordinates are -6 & 7 is =

[tex] \frac{7 + ( - 6)}{2} = \frac{1}{2} = 0.5[/tex]

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