A system of linear equations is given as x + 3y = 36 and 4x + 5y = 9. Which of the following is a possible first step when solving by substitution? *
1 point
Rewrite the first equation as x = 36 – 3y.
Rewrite the first equation as y = 1/3x + 12.
Rewrite the second equation as x = 9 – 5/4y .
Rewrite the second equation as y = 9 + 4x.

Answers

Answer 1

Answer:

Rewrite the first equation as x = 36 – 3y.

Step-by-step explanation:

x + 3y = 36 (1)

4x + 5y = 9 (2)

Using substitution method

From (1)

x = 36 - 3y

Substitute x = 36 - 3y into (2)

4x + 5y = 9

4(36 - 3y) + 5y = 9

144 - 12y + 5y = 9

- 12y + 5y = 9 - 144

-7y = -135

y = -135 / -7

y = 19.3

There is an error with the second equation, 4x + 5y can not be equal to 9

Nevertheless, the first step when solving by substitution is:

Rewrite the first equation as

x = 36 – 3y.


Related Questions

What is the answer to y=x^2+6x+5

Answers

Answer:

-5 and -1

Step-by-step explanation:

Factoring, we get y = (x+5)(x+1)

So x = -5 or -1

Or, you could've used the quadratic formula, thought it is slower.

Y= 5

y=0^2 + 6x0 + 5
y= 0 + 0 + 5
Y = 5

Yvonne is interested in testing the effectiveness of a new flea medication on dogs, so she divided some dogs with fleas into two groups, group A and group B. She gave group A the flea medication. Should she also give group B the flea medication?​

Answers

Answer:

a is the correct answer i just took the test

Answer: No, because group B should be rhe control group

Step-by-step explanation:

What property is this? -5 + 5 = 0

Answers

Answer:

Inverse Property of Addition

Step-by-step explanation:

Any problems that will go into the inverse property of addition must equal 0.  In this case, the equation above shows two of the same numbers with opposite signs in which that will equal to zero.

Find the diagonal of a rectangular solid if the length is 44 inches, the width is 32 inches, and the height is 26 inches.

Answers

Answer:

d≈60.3

Step-by-step explanation:

A company offers premium cable for 39.95 per month plus a one time setup fee. The total cost of 6 months of service is 264.70. Write and solve a linear equation to find the total cost for 2 years of service

Answers

Answer:

Total cost = 983.8

Step-by-step explanation:

Monthly charge = 39.95

One time set up fee = x

Number of months = y

Total cost = x + 39.95y

The total cost of 6 months of service is 264.70.

264.70 = x + 39.95(6)

264.70 = x + 239.7

264.70 - 239.7 = x

x = 25

Total cost = 25 + 39.95y

Write and solve a linear equation to find the total cost for 2 years of service

2 years = 24 months

Total cost = 25 + 39.95y

= 25 + 39.95(24)

= 25 + 958.8

= 983.8

Total cost = 983.8


how can 5(3+2) be expressed using distributive property

Answers

Answer:

5(3) 5(2)

Step-by-step explanation:

You would use the distributive property by doing

5(3) 5(2)

15 + 10

25

you distribute the 5 throughout the parentheses: 15(2) then, you multiply 15 by 2. answer: 30

Bonnie's favorite game at the arcade is Can Em Down. In the game, players earn 7 points for each can they knock down. Bonnie earned 84 points in her best game. Let c represent how many cans Bonnie knocked down. Which equation models the problem?

Answers

Answer:

c = (total points earned in best game / points per can knocked down)

c = 12

Step-by-step explanation:

Given that :

Points earned per knockdown = 7

Total points earned in best game = 84

Number of cans knocked down, c

c = (total points earned in best game / points per can knocked down)

c = 84/ 7

c = 12

can somebody help me ?

Answers

Answer:

Yes, 4 is the constant of proportionality

Step-by-step explanation:

The constant of proportionality here is the value you multiply x by to get y. if you divide 12/3, 24/6, 36/9, 60/15, the answer to all of those is 4. Because the multiplier is the same for each one they are all proportional.

There were 12 boys and 20 girls in a chorus. What is the ratio of boys to girls? 3 : 8 5 : 8 3 : 5 5 : 3

Answers

Answer:5 : 3

Step-by-step explanation:

Answer:

12:20

Step-by-step explanation:

12 boys: 20 girls

how do you factor 3y^3 - y^2 -9y + 3​

Answers

Answer:

(3y - 1)(y - √3)(y + √3)

Step-by-step explanation:

Factor by grouping.

3y³ - y² - 9y + 3

= (3y³ - y²) - (9y - 3)

= y²(3y - 1) - 3(3y - 1)

= (3y - 1)(y² - 3)

= (3y - 1)(y - √3)(y + √3)

Please help me! ( Please) will mark brainiest

Answers

Answer:

Option 2

Step-by-step explanation:

Option 2,all the given sets have their members occuring

Rahul's monthly income is * 25,000, out of
which he spends 20% on accommodation,
50% on household expenditure, 15% on
transportation and the rest is saved. How
much money does he save?​

Answers

Answer:

3750

Step-by-step explanation:

25,000 = 100%

20% accomodation

50% household

15% transportation

Saved=100%-20%-50%-15%=15% left saved

15% of 25,000=3750

_______________________________

= 20% + 50% + 15%= 85%= 85% × $25,000 ÷ 100= $21,250= $25,000 - $21,250= $3,750RAHUL SAVES $3,750 EVERY MONTH

_______________________________

Which of the following equations is equivalent to 4.37p + 7.5 = -6.092?
A. 437p + 75 = -6092
B. 437p + 750 = -6092
C. 437p + 750 = -692
D. 4370p + 7500 = -6092

Answers

The answer is D)
Everything is multiplied by 1000

Answer:

D

Step-by-step explanation:

Height in meters 15 30 45 60 75 90 105
Distance in kilometers 13.833 19.562 23.959 27.665 30.931 33.833 36.598

1. Determine a function that could be used to model the data in the table.
Make sure to use h for height and d for distance.

2. If the balloon is 800 meters high, what is the farthest distance that you would be able to see? Round answer to the nearest whole number

3. Round answer to the nearest whole number
A building is 16 km away. What height does the balloon have to rise for the building to be visible?

Answers

Step-by-step explanation:

....................

Please help me thanks please

Answers

Answer:

3054

Step-by-step explanation:

4/3 πr³

4/3 × 3.14 × 9³

3054

Please answer correctly !!!!!!!!!! Will
Mark Brianliest !!!!!!!!!!

Answers

Answer:

JP = 36

Step-by-step explanation:

Answer:

36 length unit

Step-by-step explanation:

if p is the centroid

then JP = ⅔ JN

then JP = ⅔ × 54 = 36 length unit


Claire and Malia are training for a race.
a. Claire runs 10 km in 1 hour. How many kilometers does she run in half an hour? in 2 1/2 hours?

b. Malia runs 5 miles in 1 hour. How many miles does she run in half an hour? in 2 1/2 hours?
c. On Tuesday, Claire and Malia both ran for 2 1/2 hours. Who ran the farther distance?

Answers

Answer: hello ima say first off Malia is my name lucky me my name is being used but for more serious matters... hope this helpssss

b)Claire runs 10km in 1 hour. In 2-1/2 hours, she runs (2-1/2 x 10) = 25 km.

c) Malia runs 5 miles in 1 hour

Step-by-step explanation:

Gail has $5,500 that she wants to put in a new savings account. She is
considering two banks that are very similar. One difference she notices
are the interest rates:
• Neighborhood Bank - 0.65% interest, compounded weekly
Beautiful Day Bank - 0.65% interest, compounded daily
.
Based on interest, which bank would you suggest Gail pick if she plans to
have her money in the account for 15 years?

Answers

Answer: Neighborhood Bank - 0.65% interest, compounded weekly

Step-by-step explanation:

The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.

How to find the compound interest?

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

Given that Gail has $5,500 that she wants to put in a new savings account.

Neighborhood Bank - 0.65% interest, compounded weekly

Beautiful Day Bank - 0.65% interest, compounded daily

Thus, $5,500 x 0.65% = $35.75

$35.75 a day times 360 days = $12870

$12870 times 20 = $257,400.

$257,400 times 20 = $514800 (16.2mil)

Hence, The bank she would suggest Gail pick if she plans to have her money in the account for 15 years is Neighborhood Bank - 0.65% interest, compounded weekly.

Learn more about compound interest here:

https://brainly.com/question/1329401

#SPJ2

Hanna has 24 candies. She wants to split all her candies equally into bags to give to her friends. How can she spilt them?

Answers

Answer:

Divide

Step-by-step explanation:

Divide 24 into how many friends there are.

Answer:

8 * 3 = 24

Step-by-step explanation:

The ratio of a larger rectangle to a smaller rectangle is 2:1. If the perimeter of the smaller rectangle is 15 ft, what is the perimeter of the larger rectangle?

Answers

Answer:

perimeter of the larger rectangle would be 30, since the ratio of the larger rectangle is double the ratio of the small rectangle, you would have to double the peri. of the small rect. to get the peri. of the large rect.

Answer this question ​

Answers

Answer:

Step-by-step explanation:

1. Eggs are sold at a price of P 105.00 per dozen.

Rate = [tex]\frac{1}{105}[/tex]

2. The carpentry job can be done by 3 carpenters in 4 days.

Rate at which each carpenter works = [tex]\frac{4}{3}[/tex] = 1[tex]\frac{1}{3}[/tex] days

This shows that each carpenter worked for an average of 1.3333 days to complete the job.

3. Five tickets are sold at P 600.00

The price for one ticket = [tex]\frac{600}{5}[/tex]

                                       = 120

One ticket is sold for P 120.00.

4. The dollar's rate is P 52.00.

This implies that;

1 dollar = P 52.00

dollar rate = [tex]\frac{1}{52}[/tex]

5. The ratio of water to milk in the recipe is 1 to 4.

This implies that to 1 measure of water, 4 measures of milk is used in the recipe.

rate = [tex]\frac{1}{4}[/tex]

Helllppppppppppp plsssss

Answers

no solution because the 8w canceles out snd then it would be 5=4 which is incorrect
w=ø
i took this and got it correct

PLEASE HElp with math ... please and thank you

Answers

Answer:

y = -1/5x + 2

Step-by-step explanation:

y = mx + b

m (slope) = -1/5

b (y-intercept) = 2

y = -1/5x + 2

Look at question 5 not the other ones and just answer please

Answers

They will each spend 40.94$ but all together they spent 204.70$ Hope I helped;)

It costs $320 for a a camping trip. It costs $50 to park your vehicle for the entire trip and $90 per day for the camping site How many days was the camping trip?​

Answers

Answer:

3 days

Step-by-step explanation:

320-50 = 270

270/90 = 3

-2(3b - 8) + 12b
Please answer

Answers

Answer:6b+16

Step-by-step explanation:

Answer:

6b + 16

Step-by-step explanation:

-2(3b - 8) + 12b --> Question

-6b + 16 + 12b --> Distributed -2 to the parenthesis

(-6b + 12b) + 16 --> Combined Like Terms

6b + 16 --> Simplified

Hope this answered your question! <3

PLEASE PLEASE SOMEONE HELP. ILL MARK YOU BRAINLY ANSWER ASAP

Answers

Answer:

ngl ion even know

Step-by-step explanation:

pls help me on this question :-

Answers

Answer:

We conclude that the rule for the table in terms of x and y is:

y = 3x+2

Step-by-step explanation:

The table indicates that there is constant change in the x and y values, meaning the table represents the linear function the graph of which would be a straight line.

We know the slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept.

Taking two points

(-2, -4)(-1, -1)

Finding the slope between (-2, -4) and (-1, -1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)[/tex]

[tex]m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}[/tex]

[tex]m=3[/tex]

We know that the y-intercept can be determined by setting x = 0 and finding the corresponding y-value.

Taking another point (0, 2) from the table.

It means at x = 0, y = 2.

Thus, the y-intercept b = 2

Using the slope-intercept form of the linear line function

y = mx+b

substituting m = 3 and b = 2

y = 3x+2

Therefore, we conclude that the rule for the table in terms of x and y is:

y = 3x+2

If 1 Euro is equivalent to $1.475 in US dollars, then approximately how many Euros would $50 U S be worth?​

Answers

Answer:

33.89

Step-by-step explanation:faci regula de 3 simpla

1 euro....... 1,475 usd

X euro....... 50 USD => x = 50/1.475 = 33,89

From the following integers, which integer is the largest?
-2, 4, 6, -7
How do you know?

Answers

Answer:

6 is the largest -7 is the smallest

Step-by-step explanation:

6 is the largest. You know because of you plotted on a number line, 6 would be farther to the right than the other integers.
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