Solve: Use Substitution
8x + 4y = 12
y = -2x + 3


Please help me!

Answers

Answer 1

Answer:

(x,y) =(3/14,3/14)

Step-by-step explanation:

8x+ 4y=-2x+3           WRITE AS SYSTEM OFEQUATIONS

12y=-2x=3                  simplify expressions

10x +4y =3

2x+12y=3 .......multiply both sides of the equation by -5

10x +4y=3

-10x -60= -15        sum both equations to eliminate a variable  (10x cancels

                                                                                                      and 3+-5 +-12

-56y= -12          divide both side by -56                                                                                

y=3/14

2x+12x3/14=3    substitute the given value of y into the equation

x=3/14


Related Questions

1) (5x - 4)(x - 5) = 0​

Answers

Answer: The answer is 1.5

Step-by-step explanation: First you want to add 5x + x which equals 6x. Then you want to add -5+-4 which = -9. Then you add 9 to the -9 to get rid of it. But you have to do it on both sides so you add 9+0 which =9. Finally you divide 9 by 6 which equals 1.5

Which of the following is a multiple of 8?
A: 22
B: 48
C: 18
D: 30

Answers

The correct answer is:
B: 48

Hope this helped!

bob buys a t-shirt for $7.45 he pays with a 20 bill. how much change will he get?
im in 5 grade im 10 years old can you solve this for me please

Answers

Answer:

$12.55

Step-by-step explanation:

Subtract! 20 - 7.45

ILL GIVE BRAINLIST IF YOU ARE RIGHT 1. (05.01 LC)
The graph shows the distance, y, that a car traveled in x hours:

What is the rate of change for the relationship represented in the graph? (1 point
55
54
1/54
1/55

Answers

I think The answer is 55

Answer:

55 (A) (I understand you bro)

because here, 1 (x) is = to 55 (y), the rate is 1:55 (x:y). This is a ratio, it's gonna bother you later

Allison decided to start by saving $10 the first week of the year in her bank. Then, the next week she would save $2 more dollars than the previous week and put that in the bank (e.g. on week 2 she saved $12). If she kept increasing the amount in this way how much will she have saved in total by the end of the year? Question 4 options: $112 $114 $3172 $3340

Answers

enjoy ;) *debby smirk*

Fen completed a triathlon race whose total distance is DDD kilometers. First, she swam a distance of 0.50.50, point, 5 kilometer. Then, she rode a bicycle for xxx hours at an average speed of 202020 kilometers per hour. Finally, she ran for 0.50.50, point, 5 hour at an average speed of vvv kilometers per hour. Write an equation that relates DDD, xxx, and vvv.

Answers

Answer:

D = 0.5 + 20x + 0.5v

Step-by-step explanation:

Initial distance covered d1 = 0.5km

If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during thus period is,;

Speed = Distance/Time

Distance d2 = speed × time

d2 = 20x

If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;

Distance d3 = 0.5v

If her total distance is D, then;

D = d1+d2+d3

D = 0.5 + 20x + 0.5v

Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v

find the ratio if it is given that,

a+3b/5= a-2b/[tex]a+3b/5= a-2b/2[/tex]2

Answers

Answer:

dbhjnhygtfvbhnj

Step-by-step explanation:

On a map, there are 3 centimeters between two cities. The actual distance between the cities is 45 kilometers.

What was the scale used for the map?

please help

Answers

Answer:

15km/cm

Step-by-step explanation:

All you do is divide 45 by three to determine your scale

Answer:

3cm on map = 45 km

1 cm on map = Xkm

Xkm = 45 / 3

Xkm = 15km

Therefore scale = 1:15000

Step-by-step explanation:

1 + 1 I dont know how to solve this problem please help me...

Answers

Answer:

1+1= 2

Step-by-step explanation:

or sometimes people say 11, but irl its 2

The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 55 records of automobile driver fatalities in a certain county showed that 34 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use α = 0.01. Solve the problem using both the critical region method and the P-value method. Since the sampling distribution of is the normal distribution, you can use critical values from the standard normal distribution (Round any intermediate calculations to at least four decimal places. Round the test statistic and critical value to two decimal places. Round the P-value to four decimal places.)

Answers

Solution :

Population proportion, P = 77%

Sample size is given by n = 55

Sample proportion = [tex]$\frac{x}{n} = \frac{34}{55}= 0.61$[/tex]

Null hypothesis

The population proportion of the fatalities of the drivers that are related to alcohol = 77%

[tex]$H_0 : P = 77$[/tex] %

[tex]$H_0 : P = 0.77$[/tex]

Alternate hypothesis, [tex]$H_a : P < 0.77$[/tex]

Therefore, the test statistics = [tex]$\frac{0.61 - 0.77}{\sqrt{\frac{0.7 \times 0.23}{55}}}$[/tex]

                                                = -3.2

Critical value = -1.64

and the rejection zone : test zone, -1.645

Therefore, we fail rejecting [tex]$H_0$[/tex]

p value 0.0582

rejection zone :: p value , 0.01

So we fail to reject [tex]$H_0$[/tex]

Thus the data does not indicate the population proportion of the drivers fatalities which are related to the alcohols which is less than 77% in the county of Kit Carson.

Mr.Davis treated his team to a pizza party after their last baseball game. He bought 7 cheese pizzas and spent less than $70.00. Write and solve an inequality to find the cost of each pizza.

Answers

Answer:

About $10 for each Pizza.

Step-by-Step:

We can use the equation 7a=70 to solve the problem. a= Amount. We divide 7 on both side which is 10. So a=10.

please help, todays the last day

Answers

Answer:

b

Step-by-step explanation:

fiber hard to digest i love you

The answer should be B .

What is the answer to this question.

Answers

I don't think I have ever seen a question worded with "partitions AB in the ratio".

But if it means what I think it means, a figure could explain it better.

o Here is B(2,0)

o Here is P(-1,-2.4)

Here is A(-3,-4)o

There is a straight line from the bottom point (A) to the top point (B) and its equation is y=0.8x-1.6

The point (-1, -2.4) lies on the line from A to B, but not in the center.

If you find the distance from A to P, then find the distance from P to B, you can make a ratio of the two lengths.

AP = sqrt[(-1-(-3))2+(-2.4-(-4))2] = sqrt[22+1.62] = sqrt[6.56] = 2.561
PB = sqrt[(-1-2)2+(-2.4-0)2]=sqrt[(-3)2+(-2.4)2] = sqrt[14.76] = 3.842

So the two parts are in the ratio 2.561 : 3.842 (AP : PB) or 2.561/3.842 = 0.66658 = 2/3 (approx)

The point P partitions AB into two segments with ratio 2/3

Not sure if that what you mean because there isn’t a lot of context but hope that helped, have a great day

RP.1.3 At Bright Futures Middle School, 576 students ride their bike
to school. If this number is 75% of the school enrollment,
then how many students are enrolled?

Answers

Answer:

768

Step-by-step explanation:

multiply both sides of the equation by 100/75 100/75 will cancel out 75/100

1. The line passes through (-7,5) and (-8,13)
answer must be written in slope imtercept form.
2. the line passes through (15,1) and (0,-4)​

Answers

1. Find slope
(Y2-y1)/(x2-x1)
(13-5)/(-8+7) = 8/-1 = -8
y = -8x + b
5 = 56 + b, b = -51
Equation: y = -8x - 51

2. (-4-1)/(0-15) = -5/-15 = 1/3
y = 1/3x + b
Now do the rest on your own

what number decreased by 3.5 equals 12.7 i have to write an equation then solve the problem

Answers

44.5
i know this because 12.7 x 3.5= 44.5

Answer:

n - 3.5 = 12.7

n=16.2

Step-by-step explanation:

n - 3.5 = 12.7, to solve add 3.5 to both sides

n = 12.7 + 3.5

n=16.2

Solve the following:
4x-3=2x+7

Answers

Answer:

= 5

Step-by-step explanation:

Add 3 to both sides of the equation 4 − 3 = 2 + 7 4x-3=2x+7 4x−3=2x+7 4 − 3 + 3 = 2 + 7 + 3

Simplify Add the numbers Add the numbers 4 = 2 + 1 0

Subtract 2 2x 2x from both sides of the equation 4 = 2 + 1 0 4x=2x+10 4x=2x+10 4 − 2 = 2 + 1 0 − 2

Simplify Combine like terms Combine like terms 2 = 1 0

Divide both sides of the equation by the same term 2 = 1 0 2x=10 2x=10 2 2 = 1 0

Simplify Cancel terms that are in both the numerator and denominator Divide the numbers = 5

Solution x=5

Which ordered pair is a solution of the equation −1/4x + 6 = y?
A. (4, 7)
B. (2, 5)
C. (6, 0)
D. (12,3)

Answers

Answer:

C

Step-by-step explanation:

-6x + 8y = 24
What is the answer?

Answers

Answer:

x=-4 y=3

Step-by-step explanation:

this is what the girl said in the comment section :) so i plugged them into the equation and she was right

Plzzzz help!!!! I don't understand

Answers

Answer:

x = 1

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

2x + 8y = 6
-5x - 20y = -15

Answers

Answer:

The total would be 40.53

Or

Solve for the first variable in one of the equations, then substitute the result into the other equation.

x  =  3  −  4 y

Step-by-step explanation:

This question is incomplete so

what is the volum of a cylinder with a radius of 9 inches and a heigh of 2 inches? use 3.14 for pi

Answers

Answer:

508.93

Step-by-step explanation:

Have a nice day! :)

It costs $4 to sign up for a music download service and $0.50 to download each song. Jada signs up for the service
and begins downloading music.
1. Complete the table showing how Jada can spend money downloading songs.

Answers

Step-by-step explanation:

Note: I could not find any attached table of values, however, we can make do with the information given

step one:

the cost of sign up = $4

the cost of download for each song= $0.5

Step two:

Required

we want to find the cost of downloading any number of songs.

let the number of songs be x

and let the total cost be y

Hence the cost function is

y=0.5x+4

now supposing the value of x which is the number of downloads from the table is 10, then the total cost for 10 downloads will be

y=0.5(10)+4

y=5+4

y=9

Hence it will cost $9 to download 10 songs, just plug in the value of x into the cost function

X > -9 written in words

Answers

Answer:

X is greater than negative-nine (-9).

Can someone help me answer this question plz and thank you

Answers

I think it's a or d. Forgive me if I am wrong :(

Answer:

The equation has a greater slope.

Step-by-step explanation:

The slope of the equation is 4 while the slope of the table is 3 because y increases 3 every time x increases 1.

5 divided by 7/10 = ?

Answers

Answer:

♡ madeline here ♡

it's 7 1/7.  have a great day, luv!

- madeline/madi

✧・゚: *✧・゚:・゚✧*:・゚✧・゚

Step-by-step explanation:

Answer:

50/7

Step-by-step explanation:

7/10=0.7

5/0.7=7.142857143 etc. etc.

7.14

5 divided by 7

1                    10

"flip the guy and multiply"

5 times 10

1            7

50

7

=50/7 or 7 1/7 (because 7 goes into 50, 7 times)

If a 4 ft. pole casts a 5 ft shadow, how high is a pole that casts a 15 ft shadow? 1​

Answers

Answer:

12 ft!!

Step-by-step explanation:

can u pls mark me brainliest?

Answer:

x=12 ft

Step-by-step explanation:

4/5=x/15

Multiply 5 and x to get 5x, then multiply 4 and 15 to get 60, then you're left with the equation 5x=60. Divide both sides of the equation by five to get 12 :D.

This month the Middle School Media newspaper has 25 pages. Twenty-five schools order the paper for each of their students. Each of the schools has 25 classrooms with 25 students in each classroom. What expression with an exponent shows the total number of pages in all of the newspapers?

Answers

Answer:

25^4

Step-by-step explanation:

Here, we want to find the expression that shows the total number of pages in all of the news papers

Number of pages per book = 25

Number of schools is 25

Number of classrooms is 25

Number of students per classroom is 25

Now; the number of students in each school

is 25 * 25

Number of students in all of the school will be;

25 * 25 * 25

So the number of pages in all of the schools will be;

25 * 25 * 25 * 25 = 25^4

On Sunday 440 people visited a museum that charges $9 for each child and $12.50 for each adult. If the museum earned $5,220 on that day, how many adults visited the museum on Sunday?​

Answers

about 50 adults visited
I need to ask bkah g yrhrjupu

Alice’s Athletic Arena requires members to pay $20 to join and members must pay $1.50 for each time they come to work out. Roy’s Romper Room requires members to pay $5 to join and members must pay $4 for each time they come to work out. How many visits will it take for the costs to both be the same?

Answers

Answer:

6 visits will it take for the costs to be the same

Step-by-step explanation:

The form of the linear relation is y = m x + b, where

m is the rate of changeb is the initial amount

Assume that the number of visits is x, and the total cost is y

∵ Alice’s Athletic Arena requires members to pay $20 to join

→ That means there is an initial amount of $20

b = 20

∵ The members must pay $1.50 for each time they come to work out

→ That means there is a cost for every visit (rate of change)

m = 1.5 dollars/visit

∵ The number of visits = x

∵ The total cost is y

→ Form the linear equation for this situation

y = 1.5x + 20 ⇒ (1)

∵ Roy’s Romper Room requires members to pay $5 to join

b = 5

∵ The members must pay $4 for each time they come to work out

m = 4 dollar/visit

→ Form the linear equation for this situation

y = 4x + 5 ⇒ (2)

∵ The costs to both are the same

→ That means, equate the right sides of (1) and (2)

1.5x + 20 = 4x + 5

→ Subtract 20 from both sides

∴ 1.5x + 20 - 20 = 4x + 5 - 20

∴ 1.5x = 4x - 15

→ Subtract 4x from both sides

∵ 1.5x - 4x = 4x - 4x - 15

∴ -2.5x = -15

→ Divide both sides by -2.5

x = 6

6 visits will it take for the costs to be the same

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