Use the elimination method to solve the following system. 6x – 7y = –8 –x – 4y = –9

(–6, –3)


(0, 4)


(–3, 8)


(1, 2)

Answers

Answer 1
The correct answer is (1,2)

Steps:
Multiply the second equation by 6 in order to eliminate the x variable.

6x-7y= -8
6(-x-4y= -9)

6x-7y= -8
-6x-24y=-54

Add the equations together and solve for y

-31y= -62
Y=2

Substitute y=2 in the original equation

-x-4(2)= -9
-x-8= -9
-x= -1
X=1

Answer: (1,2)




Related Questions

In order from less complex to more complex, which level of organization is directly after tissue?

Answers

organs is after tissue

9 = 40 + 13
Helpppppp I need it due today

Answers

Its is equal to 9x6=53 Goodluck

Thirty-five less than the square of a number is the same as 2 times the number. Find the number

Answers

9514 1404 393

Answer:

  -5  or  7

Step-by-step explanation:

Let x represent the number. The problem statement tells us ...

  x^2 -35 = 2x

  x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form

  (x -7)(x +5) = 0 . . . . . factor

  x = 7  or  x = -5 . . . . solutions are values of x that make the factors zero

The number could be either -5 or +7.

Claire currently earns $25 per hour at her work. Her boss has decided to give her a 15% raise. What is Claire's new hourly wage?

Answers

Answer:

$28.75

Step-by-step explanation:

15% of 25 is $3.75 and that + the 25 that is already there is $28.75

Answer:

$28.75

15% of $25. is $3.75....add $25.00 + $3.75= $28.75

The ratio of potatoes to turnips is 3:1 if there is 75 potatoes how many turnips are there

Answers

Answer:

25

Step-by-step explanation:

let the total of potatoes and turnips be x

total ratio=1+3

=4

3÷4×x=75

3x=75×3

3x=300

x=300÷3

x=100

PLEASE HELP!! It’s urgent!! I will mark brainliest

Answers

Answer:

a,c,d

Step-by-step explanation:

Answer:

the answer is F, C, A

Does -3/4 equal 3/(-4)?

Answers

Answer:

Yes

Step-by-step explanation:

When you're dividing 2 numbers, the order of the negatives doesn't matter. As long as one of the numbers is negative, the result will be negative. Since the order of these numbers are the same (with 3 first and 4 second) they will have the same value.

If it takes 3 gallons of gas to go 60 miles, how many gallons of gas does it take to go 440 miles at the same rate?

Answers

Answer:

it would take 22 gallons of gas

Step-by-step explanation:

3 divided by 60

that’s the amount of gas per single mile

then that number times 440 (number of miles you wish to go).

These points are linear. Find the slope.

Answers

I think the slope would be 8. The formula to find slope is y1-y2/x1-x2 so you pick two points and then do the problem, i picked points (-2, -8) and (-3, -16) and after simplifying my answer i got 8. I may be wrong though

Solve for a
-3=a+4

I need some help today

Answers

a=-7
i’m guessing that’s what it is

when a load of 5 pounds is placed on a spring, its length is 6 inches, and when a load of 9 pounds is placed on the spring, its length is 8 inches. what is the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds? give units on your answer

Answers

Answer:

Four inches every four and a half pounds

The average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.

What is average?

It is a measure of how much the function changes per unit, on average, over the given interval.

We have,

5 pounds loaded on a spring:

The length of the spring is 6 inches.

9 pounds loaded on a spring:

The length of the spring is 8 inches.

The average rate of change in the length of the spring as the load varies:

= (8 - 6) / (9 - 5)

= 2 / 4

= 1 / 2

= 0.5 inches per pound

Thus the average rate of change of the length of the spring as the load varies from 5 pounds to 9 pounds is 0.5 inches per pound.

Learn more about average rate of change here:

https://brainly.com/question/21635353

#SPJ2

Solve for x in the diagram shown.
A) 2.67
B) 4.5
C)5.625
D) 34.375

Answers

Answer: C

Step-by-step explanation:

Please Help! Will mark brainliest!
Directions; Write a system of equations for each of the descriptions below, and then solve the systems. Hint: you can graph the equations to find the solutions.

A golfer completed 18 holes with a total of 79 strokes. On each hole, he met par, which was either four or five each time. How many holes were played in four-strokes?

Answers

Answer:

11

Step-by-step explanation:

Let a= times he hit 4 par

Let b = times he hit 5 par

a+b=18 => 4a+4b = 72

4a+5b=79

b=79-72=7

So a = 11

answer:

18 = 4a + 5b = 79, b = 79 - 72 = 7 → 11 holes

i hope this helps ♡♡♡

Solve for the variable in the proportion below. Type the number only. Your answer should be a whole number.

2/4 =5/x

x =

Answers

2/4 = 5/x <=>

2x = 5*4 <=>

2x = 20 <=>

x = 20/2 <=>

x = 10

What is 39/20 written as decimal ?

Answers

Answer:

1.95

Step-by-step explanation:

39/20 * 5/5 = 195/100
Move decimal over 2 places
Solution: 1.95

What is 60 + 9.000000000

Answers

Answer:

69

Step-by-step explanation:

Answer:

69.000000000

Step-by-step explanation:

add 60 plus 9.000000000 and you get 69.000000000

Which of the following expressions is equivalent to the expression 42+90?


A. 6(7+14)

B.6(7+15)

C.7(6+12)

D.6(36+84)

Answers

Answer:

B

Step-by-step explanation:

6(7+15)

= 6(7) + 6(15)

= 42 + 90

:D it helps!

True or false: sometimes, a quadratic expression cannot be factored.

Answers

Answer:

true

Step-by-step explanation:

the question is below thanks

Answers

Answer:

[tex]10.02[/tex] units

Step-by-step explanation:

[tex]FH = \frac{82}{360} \times 2 \pi r[/tex] (Multiplying the circumference of the circle by the arc's degree over the total degree of the circle will find the length of the arc [tex]FH[/tex])

[tex]FH = \frac{82}{360}\times 2 \pi (7)[/tex]

[tex]=\frac{82}{360}\times14\pi[/tex]

[tex]=\frac{287\pi}{90}[/tex]

[tex]=10.02[/tex] (to the nearest hundredth)

∴ The length of the arc [tex]FH[/tex] is 10.02 units to the nearest hundredth.

Hope this helps :)

Solve for the complimentary angle b

Answers

Answer:

b = 38

Step-by-step explanation:

The two angles form a 90 degree angle so they add to 90

b+52 = 90

Subtract 52 from each side

b+52-52 =90-52

b = 38

Answer:

38

Step-by-step explanation:

90-52=38

and the little box indicates it's a right angle which is 90 degrees

3x-4+7x-8-10x-2

Simplify

Answers

Answer:

The answer is -14

Step-by-step explanation:

P.S Can I have brainliest?

The equation y - 3x - 5 = 0 when written in slope-intercept form is:
y = 3x - 5.
y=-3x + 5.
O y = 3x + 5.

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

The zero seems to be a place holder to mess you up. Just ignore that it doesn't do anything. Add -3x and -5 to the both sides to create y = 3x + 5

Find the x-intercept and y-intercept of the line given by the equation below. Then graph the line.
x + y = 2
X-intercept:
y-intercept:

Answers

y-intercept: (0,2)
x-intercept: (2,0)

graphed:
Y intercept: 0,2)

X intercept (2,0)

99+99x=0
How to solve this please help

Answers

99 + 99x = 0

Subtract 99 from both sides:

99x = -99

Divide both sides by 99

X = -1

Answer:

[tex]x = - 1[/tex]

Step-by-step explanation:

[tex]99 + 99x = 0 \\ collecting \: like \: terms \\ 99x = - 99 \\ divide \: by \: 99 \: on \: both \: sides \\ \frac{99x}{99} = \frac{ - 99}{99} \\ x = - 1[/tex]

For exercises 16-18 , trace each figure and draw its rotated image

Answers

The answer is r(b x p) d

Well happy New Year everyone. I've been thinking about the upcoming year "2021" and found something interesting. Reduced to its prime factors it becomes 43*47. Yes, it resolves into 2 CONSECUTIVE 2 digit prime numbers, which does NOT happen that often. The last time this occurred was in 1927 (41 * 47). However these are NOT consecutive prime numbers. (There's another prime number between 41 and 47). If we go back to 1763 (41 * 43), it resolves into two 2-digit CONSECUTIVE primes AND they are TWIN primes (prime numbers with a difference of 2).


And now, here's the question: Can anyone find some interesting factorizations of upcoming years? For example, the year 2033 = 19*107 and the year 2041 = 13*157. In each case the factors are less than 10. Obviously, this is not THE most vital question, so don't spend too much time on it. (Although I've been told that a solution will finally bring about World Peace!!! ) LOL

Answers

Answer:

As 2021 and 1927 does not have any product of primes

HCF and LCM of 2020 and 1926 is shown below

Step-by-step explanation:

2020 = 2^2 × 5 × 101

1926 = 2 x 3^2 x 107

2  is the HCF

2 x 2 x 3 x 3 x 5 x 101 x 107  = 1945260

1945260 is the LCM

2022 and 1928 both have product of primes and their HCF and LCM is

1949208 is the LCF and 2 is the HCF

1949208 - 1945260 = 3948

3948/2 = 1974

2022-1928 = 94

2020 - 1926 = 94

1974/94 = 21

and brings us back to our year again.

Happy New Year to you.

Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm

Answers

Answer:

exponential expression:

8ᵇ = 2

log8(2) = 0.333333333 or 1/3

Answer:

log8(2) = 1/3

Step-by-step explanation:

I don't know if they mean this by an exponential expression but:

set x = log8(2), then

8^x = 8^(log8(2))

By logarithmic properties:

8^x = 2.

notice that 8 = 2^3.

By exponential properties:

8^x = (2^3)^x = 2^(3x)

So 2^(3x) = 2 = 2^1.

Comparing exponents gives:

3x = 1 <=> x = 1/3.

So log8(2) = 1/3.

Tamara draws a tile from a bag and records the results. The bag contains tiles labeled with the letters, W, A, T, E, R, M, E, L, O, and N. Based on this information, which statement is true?

Answers

what are the statements?

Answer:

These are the statements. I need help to

Step-by-step explanation:

She is 1.5 times less likely to draw a vowel than a consonant.

She is 1.5 times more likely to draw a vowel than a consonant.

She is twice as likely to draw a consonant as a vowel.

Drawing a vowel and a consonant are equal likely.

Help me please I don’t know it

Answers

C both of these is correct

Write the equation for the graph below. Points (-5,1) (-4,2) (-1,3)

Answers

Answer:

Concept: Derivation of Equations

Let us find the parent graph We can tell that the equation of the parent graph is [tex] \sqrt{x} [/tex]Hence we perform a transformation moving five units to the left and one unit upSo out result equation is [tex] \sqrt{x + 5} + 1[/tex]General note, if you move to the left its positive, if you move to the right its negative.If you move upwards its positive and downwards its negative.Give brainlist
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