4. Solve the system of equations. (6 points)
2x-3y - 21
-6x+2y = 7
Part I: Explain the steps you would take to solve the system by eliminating the x-terms. (1 point)
Part II: Explain the steps you would take to solve the system by eliminating the y-terms. (2
points)
Part III: Choose either of the methods described in parts I or II to solve the system of equations.
Write your answer as an ordered pair. Show your work. (3 points)

Answers

Answer 1
1) If the first equation is 2x-3y=21, To eliminate the x-terms, I would multiply the first equation by -3. To make -6x+9y+63.

Then, I would subtract the second row from the first row to make 7y=-70

Next, divide both sides by 7 to solve for y. y = -10.

2) To eliminate the y-terms, I would multiply the first equation by 2 and the second equation by -3. It will make 4x-6y=42 and 18x-6y=-21.

Now, subtract the two equations to make -14x=63.

Lastly, divide both sides of the equation by -14 to find x. x = -9/2

3) The answer as an ordered pair is (-9/2, -10).

Have a wonderful day✨❤️

Related Questions

A middle school is selling candy bars to raise money for new calculators. The graph shows the number of candy bars sold, x, and the amount of money collected, y.

Answers

Hello, please attach the graph and write your question, so i will be able to help u!

How do I find the measurement indicated in each parallelogram.

Answers

Answer:

17) 23

18) 12

Step-by-step explanation:

17

x+15 = 7+2x

x-2x = 7-15

-x= -8

x=8

WX = x+15

= 8+15

= 23

18

2x = 3x-6

2x -3x = -6

-x = -6

x = 6

EF = 3x-6

= 3(6) -6

= 18 -6

= 12

Answer is 17 u need to write 17

IF 26% OF A NUMBER IS 65 ,FIND THE NUMBER ?
plzz ans!

Answers

Answer:

48.10 dollars

Step-by-step explanation:

I think JDJDKDIDID

Answer:

250

Step-by-step explanation:

Multiply 100 by 65 and divide that by 26.

Which of the following is NOT a rational number?
-4/7
3/5
(the symbol for pie)
2/3

Answers

Answer: (the symbol of pi)

Step-by-step explanation: Because if you divide each of those fractions only pi keeps in going without repeating itself.

63 divided by 4914​

Answers

Answer:

1/78

Decimal form:

0.0 128205...

hope this helps!

URGENT!!!! HELP PLEASE!!!

Answers

Answer:A. 60Hope this helps!!

A, skdigjnaaojbdjaoxjbeoahxf

help me please on letter b

Answers

​12v6
Hshsjsjsjnsmsnsjsnsjsjjss

What is the graph of the given function?
f(x) = -2(x – 3)2 + 4
Graph

Answers

Answer:

the graph attached is the answer

The decimal 5.2323… is a(n) _____number.

rational
irrational
integer
whole

Answers

Answer:

it is a rational number

Answer:

rational

Step-by-step explanation:

infinite decimal

recurring decimal

integer

Aakash can complete a work in 10 days. If he worked for 4 days and
the remaining work is done by Safal, how much work is done by Safal?​

Answers

Step-by-step explanation:

Hey there!

According to the question;

Aakash can complete a work in 10 days.

That means;

In 10 days Aakash can complete 1 work.

In 1 day Aakash can complete (1/10) work.

In 4 days Aakash can complete (1/10)*4 part of work.

Therefore, in 4 days he can complete 2/5 part of work.

After 4 days Safal had to work.

So, work left was 1 - (2/5) {work left = whole work - done work}.

[tex]1 - \frac{2}{5} [/tex]

[tex] = \frac{3}{5} [/tex]

Therefore, the work Safal had to do was 3/5 part of work.

Hope it helps....

How do I solve 6x—20=

Answers

Answer:

Can not be determined

Step-by-step explanation:

regularly, you would +20 to both sides, but without a full =, you cant solve. If the equation is 6x-20=0, x would equal 3 2/6.

Hope this helps!

ok so you have 6x-20 it would be in the negatives so when you do that it stays negative because one negative stays as negative so you subtract -20 first then you multiply that by 6x which would give you negative 120 (-120

FIND THE SLOPE of the line that passes through the points (1,-19) and (-2,-7). You do not need to write the whole equation

Answers

Answer:

Slope is -12

Step-by-step explanation:

change of y/change of x = -12

Answer:

-4

Step-by-step explanation:

(-19 + 7)/(1 + 2) = -12/3 = -4

Whats the answer for #2

Answers

To get the slope you have to do rise/run

Which means ur answer is
4/5

Ms. Ruiz bought 12 packages of plates for the party. Each package contains 15 plates. She bought 10 packages of small plates and 2 packages of large plates. How many small plates did she buy? How many large plates did she buy? How many plates did she buy all together

Answers

Answer:

a)  150 plates

b)  30 plates

c)  180 plates

Step-by-step explanation:

Given that:

She bought twelve (12) packages of plates for the party in which each package contains 15 plates.

Out of the 12 packages;

10packages are small plates & 2 packages are large plates.

a) The number of small plates she bought = 10 × 15 = 150 plates

b) The number of large plates she bought = 2 × 15 = 30 plates

c) The total number of plates she bought all together is:

= number of small plates bought + = number of large plates bought

= (150 +30) plates

The total number of plates she bought all together = 180 plates

IM BAD AT PROPORTIONAL RELATIONSHIPS PLEASE HELP

Answers

Answer:

i will say Yes

Step-by-step explanation:

Answer:

I say yes

Step-by-step explanation:

This is because if you work it out step by step by step you will get the numbers equally

Grade 7 Unit 4 District Assessment 2020-21 Question: 1 Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)​

Answers

Answer:

123334

Step-by-step explanation:

Flying against the wind, a jet travels 2480 miles in 4 hours. Flying with the wind, the same jet travels 7040 miles in 8 hours. What is the rate of the jet in still air and what is the rate of the wind?

Answers

Answer:

The speed of jet in still air is 750 miles per hour and speed of wind is 130 miles per hour.

Step-by-step explanation:

Given that:

Distance traveled by jet against the wind = 2480 miles in 4 hours

Combined speed = [tex]\frac{Distance}{Time}[/tex] = [tex]\frac{2480}{4}[/tex]

Combined speed = 620 miles per hour

Distance traveled with wind = 7040 miles in 8 hours

Combined speed = [tex]\frac{7040}{8}[/tex]

Combined speed = 880

Let,

Speed of jet = x

Speed of wind = y

When jet travels against the wind, the speed will be subtracted

x-y=620      Eqn 1

When jet travels with the wind, the speed will be added

x+y=880     Eqn 2

Adding Eqn 1 and 2

(x-y)+(x+y)=620+880

x-y+x+y=1500

2x=1500

Dividing both sides by 2

[tex]\frac{2x}{2}=\frac{1500}{2}\\x=750[/tex]

Putting x=750 in Eqn 2

750+y=880

y=880-750

y=130

Hence,

The speed of jet in still air is 750 miles per hour and speed of wind is 130 miles per hour.

Yasmin uses 4 cups of papaya juice for every 6 cups of pineapple juice. If Yasmi already has 24 cups of pineapple juice, how many cups of papaya juice will she need to make the fruit punch?

Answers

Answer:

Step-by-step explanation:

The ratio is 4:6 4 papaya to 6 pineapple

This turns out to be for every 1 cup of papaya juice you have 1.5 cups of pineapple juice.

If you have 24 cups of pineapple juice divide 24 by 1.5 to get 16 cups of papaya juice. 16:24.

You are eating a slice of pizza that has 391 calories in it. Each time you dip the pizza into ranch dressing, though, you add 7 calories to the total. If your meal wound up being 454 calories in total, how many times did you dip the pizza into ranch dressing? I don't get it

Answers

Answer:I think it is about 55 times

Step-by-step explanation:

Answer:

9 times

Step-by-step explanation:

The pizza has 391 calories in it, and everytime you dip it into ranch, you add 7 calories to the 391.

454(calories in total) - 391(calories in the pizza)= 63

63 ÷ 7(calories everytime you dip into ranch) = 9

True or False: A prime number has exactly 2 factors
O True
O False

Answers

Answer:

I’d say false

Step-by-step explanation:

Write the standard form of the line that contains a slope of −1/2 and y-intercept of 1. Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answers

Answer:

x + 2y = 4

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Slope is m = -1/2 and y-intercept is b = 1

The function is:

y = -1/2x + 1

Standard form is:

Ax + By = C

Converting the function into standard form:

y = -1/2x + 2 ⇒ 2y = - x + 4 ⇒ x + 2y = 4

Answer:

Step-by-step explanation:

Slope-intercept form of y = mx + b

Slope is m = -1/2 and y-intercept is b = 1

The function is y = -1/2x + 1

y+1/2x=1

(2y+1x)/2=1

2y+x=2

x+2y=2

The area of a rectangle a=1(w) is represented by the expression 24x6y15. If the width of the rectangle is 2x3y9, what is the length of the rectangle

Answers

Answer:

Length of rectangle is: [tex]Length=12x^3y^6[/tex]

Step-by-step explanation:

The area of rectangle = [tex]24x^6y^{15}[/tex]

Width of rectangle = [tex]2x^3y^9[/tex]

We need to find length of rectangle

The formula used is: [tex]Area=Length\times Width[/tex]

Putting values and finding length

[tex]Area=Length\times Width\\24x^6y^{15}=Length\times 2x^3y^9\\Length=\frac{24x^6y^{15}}{2x^3y^9} \\Length=12x^{6-3}y^{15-9}\\Length=12x^3y^6[/tex]

So, Length of rectangle is: [tex]Length=12x^3y^6[/tex]

Maya has a piece of fabric in the shape of a parallelogram. Its height is 12 feet and its base is 18 feet. She cuts the fabric into four equal parallelograms by cutting the base and the height in half. What is the area of each new parallelogram?

Answers

Answer:

I think its 54

Step-by-step explanation:

12 x 18 = 216 ÷ 4 = 54

What are the x - and y - intercepts for the graph of 2x - 5y = 10

Answers

Answer:

Step-by-step explanation:

2x-0=10

x=5

y=2

plz help me plz plz thank you

Answers

Answer:

240

Step-by-step explanation:

bruh all you have to do is (11+5)*15

Find the measure of angle B​

Answers

Answer:

Step-by-step explanation:

Use the Law of Cosines for this. If we want the measure of angle B, then the equation is set up like this:

[tex]b^2=a^2+c^2-2accosB[/tex]

Filling in:

[tex]9^2=14^2+6^2-2(14)(6)cosB[/tex] and simplifying a bit:

81 = 196 + 36 - 168cosB and a bit more:

81 = 232 - 168cosB and even more:

-151 = -168cosB and divide both sides by -168 to get

.9378881988 = cosB

Now use the 2nd button on your calculator along with the cos button to find the missing angle. Make sure your calculator is in degree mode first. Your angle should be 20.30012152

A while back, Shelby paid a car insurance premium of $3,980 per year. Now she pays 5% more. What does Shelby pay now?

Answers

Answer:

5,970

Step-by-step explanation:

3,980x.5+3,980

Raisins cost $4 a pound and walnuts cost $8 a pound. Diego spent $15 on both ingredients.

Answers

What is the question sir

What is the circumference?"
18 ft

Answers

Answer:

C=2πr

Step-by-step explanation:

C=2πr

Mr. Ramirez gave his class
40
40 minutes to read. Davida reads
28
1
2
28
2
1

pages in that time. At what rate, in pages per hour, did Davida read?

Answers

Answer:

38 pages per hour

Step-by-step explanation:

Rate of reading = [tex]\frac{\text{Total number of pages read by Davida}}{\text{Time taken to read}}[/tex]

By substituting the given values in the question,

Total number of pages read by Davida = [tex]28\frac{1}{2}[/tex] = [tex]\frac{57}{2}[/tex]

Time taken by Davida = 45 minutes

Since, 1 minute = [tex]\frac{1}{60}[/tex] hours

Therefore, 45 minutes = [tex]\frac{45}{60}=\frac{3}{4}[/tex] hours

Rate of reading = [tex]\frac{\frac{57}{2}}{\frac{3}{4} }[/tex]

                          = [tex]\frac{57}{2}\times \frac{4}{3}[/tex]

                          = 38 pages per hour

Therefore, rate of reading by Davida is 38 pages per hour.

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