Mathematics College

Please help with steps??? Question: Find the solution for a system of equations by elimination
2x- 3y=6
5x +7y = -14

Answers

Answer 1

Answer:

x = -84, y = -58

Step-by-step explanation:

2x - 3y = 6 --- Equation 1

Equation 1×5: 10x - 15y = 30 --- Equation 2

5x + 7y = -14 --- Equation 3

Equation 3×2: 10x + 14y = -28 --- Equation 4

I will eliminate 10x.

Equation 4-2:

10x - 15y - 10x + 14y = 30-(-28)

-y = 30+28

   = 58

y = -58

Substitute y  =-58 into Equation 1.

2x - 3y = 6

2x - 3(-58) = 6

2x - (-174) = 6

2x + 174 = 6

Find 2x.

2x = 6-174

    = -168

Find x.

x = -168 ÷ 2

x = -84

Related Questions

What is 2 and 1/4 divided by 3/4?

Answers

Answer:3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

2 1/4 divided by 3/4 =

9/4 * 4/3 =

36/12 =

3

Question 1 Imaginary & Complex Numbers-Addition & Subtraction Solve the following: (7 – 21) – (2+61) = O 9 +82 O 5 - 42 0 5 - 82 0 5+ 8i​

Answers

Answer:this did not work for me

Step-by-step explanation:

A small garden has an area of 25 square yards. How long is each side of the garden? *

Answers

Answer:

5

Step-by-step explanation:

2= f/8 f= solve the equation

Answers

2= f/8
F is being divided by eight , when moving across equal sign the sign is opposite.
2 x 8 = f
16=f

Given the function:
f (x) = (3 x + 4) minus (2 minus x)
Evaluate for f (5).

Answers

Your answer is 22

Hope this helps!

please help me out here I need it

Answers

Step-by-step explanation:

it is the 3rd one I know this as I substituted all values of x into each equation and got the answer for y

Answer:

y=2X2-5x+5

Step-by-step explanation:

Every month, Veronica deposits $230 in an account with an interest rate of 6% compounded monthly. How much money will she have in the account at the end of the first 5 years? (Round to the nearest cent. Do not enter the $ sign.)

Answers

Answer:

Veronica will have $310.04 at the end of first five years.

Step-by-step explanation:

Principal Amount P = $230

Interest Rate r = 6%

Time t = 5 years

Compounded monthly n = 12

We need to find the future amount (A)

The formula used is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=230(1+\frac{0.06}{12})^{5*12}\\A=230(1+0.005)^{60}\\A=230(1.005)^{60}\\A=230(1.348)\\A=310.04[/tex]

So, Veronica will have $310.04 at the end of first five years.

A virus takes 13 days to double its original population (A=2A_0). How long will it take to triple its population? Round to the nearest tenth.

Answers

Answer:

20.6

Step-by-step explanation:

A virus takes approximately 20.6 days to triple its original population.

What is the formula of exponential growth?

"[tex]f(x)=ab^x[/tex],

where a is the initial value

b is the growth rate

x is time. "

For given question,

Suppose the function for the population growth is,

[tex]A(t)=A_0\times b^t[/tex]                         .........(1)

For t = 13, the population growth of virus would be,

[tex]\Rightarrow A(13)=A_0\times b^{13}[/tex]                  ..........(2)

But we have been given that a virus takes 13 days to double its original population.

[tex]\Rightarrow A(13)=2\times A_0[/tex]                      .........(3)

From (2) and (3),

[tex]\Rightarrow A_0\times b^{13}=2\times A_0\\\\\Rightarrow b^{13}=2\\\\\Rightarrow b=1.0548[/tex]

We need to find the number of days  to triple its original population

[tex]\Rightarrow A(t)=3\times A_0[/tex]                   ...........(4)

From (1) and (4),

[tex]\Rightarrow A_0\times b^t=A_0 \times 3\\\\\Rightarrow (1.0548)^t=3\\\\\Rightarrow t=20.6[/tex]

Therefore, a virus takes approximately 20.6 days to triple its original population

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Find the distance between a and b

Answers

Answer:I believe it is 2.4

Step-by-step explanation:

At a hardware store, a tool set normally costs $80. During a sale this week, the tool set costs $12 less than usual. What percentage of the usual price is the savings?

Answers

15%

Explaination according to zehtmnt who also answered this question by another person:

You have to do a proportion

12. = x

80 100 and u have to cross multiply

80x = 1200

80. 80

“How mathematics is involved in Merchandising?”

Answers

Answer:

You have to have the number of items you paid for and know what numbers you're calculated at checkout.

the ratio of boys and girls in class is 3:2 Tthere are 15 boys how many total of boys and girls are in class

Answers

Answer: 15 boys and 10 girls

Step-by-step explanation:

15/3=5, so the you have to multiply 2 by 5 to get the number of girls. 2x5=10, so to get the total number of students you add 15+10 which gets you 25 students, but if it’s just asking for girls, then it’s 10.

Answer:

25

Step-by-step explanation:

3:2 = 15:10 ( 3x5 = 15 boys; 2x5 = 10 girls)

15+10=25 total boys and girls

LOOK A PICTURE HURRY PLS LIKE RIGHT NOW

Answers

Answeri think it’s 96 or 84 I’m. It sure I had this like 3 years ago

Step-by-step explanation:

50 POINTS!!!!
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=-16x^2+212x+139

Answers

The answer is 503.39

Hope this helps

Which situation has a net result of zero?
The temperature was -9'F and fell 9°F.
Janet had $4 and gave $3 to her friend.
High tide was 5.5 ft and now low tide is -0.5 ft.
The hot-air balloon rose 539 feet. It then lost 539 feet of altitude.

Answers

Answer:

D. The hot-air balloon... results in a net of zero

Step-by-step explanation:

Thanks for the points my guy :)

have a great day

Answer:

canberry

Step-by-step explanation:


(x2 +9) - (-7x2 – 3x + 9)

Answers

Answer:

8x²+3x

Step-by-step explanation:

Does this graph represent a function? Why or why not? 10 22 -10B2 10 8 A. No, because it fails the vertical line test. B. No, because it is not a straight line. C. Yes, because it passes the vertical line test. O D. Yes, because it has two straight lines.​

Answers

Answer: I need to see the graph

Step-by-step explanation:

The class can contain at most 28 students.

Answers

Answer:

s < 28

Step-by-step explanation:

Which equation represents a proportional relationship?

Answers

Answer:

y = 3x

Step-by-step explanation:

A proportional relationship should be represented by an equation in this format:

y = kx

3/8 divided by 4????

Answers

Answer:

um Yess?

Step-by-step explanation:

╱╱▏┈┈╱╱╱╱▏╱╱▏

▇╱▏┈┈▇▇▇╱▏▇╱▏

▇╱▏▁┈▇╱▇╱▏▇╱▏▁

▇╱╱╱▏▇╱▇╱▏▇╱╱╱▏

▇▇▇╱┈▇▇▇╱┈▇▇▇╱

What linear function models the table of values?

Answers

i think it’s c im not sure :/

Jerome wants to rent a car for 8 days, and he's interested in the collision damage waiver but not the loss damage waiver. If the daily rate is $60 and CDW is $66, what is his total rental cost?

A$588

B$480

C$546

D$1008

Answers

Answer:

c?

Step-by-step explanation:

Answer:

C.546

Step-by-step explanation:

60×8=480+ 66=546

What is -3(2a + 5b - 4y - 2)?

Answers

Answer: -6a-15b+12y+6

Step-by-step explanation:

What is the measure of angle c? Pls hurry

Answers

Answer:

I think the answer is 43

Step-by-step explanation:

Because b=83

The total value of triangle angles =180

So 54+83=137

180-137=43

Solve the distance, rate, time problem using a system of two linear equations in two variables.

A plane can travel 960 miles in 2 hours (120 minutes) with a tailwind. The return trip against the wind takes 2 hours and 40 minutes (160 minutes). Find the speed of the plane in still air and the speed of the wind.

Define two variables (state what each variable represents).
Set up a system of two linear equations using the two variables defined in part (A).
Solve the system of equations by addition or substitution.
State your answer as a sentence and include units.

Answers

Answer:

960 would be correct becasue it says it in the problem.

Which equation calculates the number of 1/8 foot pieces you can cut from 5 feet of ribbon

Answers

Answer:

40

Step-by-step explanation:

The number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x - 5 = 16 is an equation.

Given that, a ribbon of 5 feet long ribbon is cut into n 1/8-foot-long ribbons, we need to determine the equation calculates the number of 1/8 foot pieces,

So, the equation =

n = 5÷1/8

n = 40

Hence the number ribbons cut from the 5 feet long one is 40 ribbons, the equation is n = 5÷1/8

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I can write linear equations

1. Through: (-1,3), Slope=2

2.Through: (3,3), slope= -2

Answers

1. Y=2x+5

2. Y= -2x-3

Round 4.645 to the
nearest whole number.

Answers

5. since .6 is greater than 5, we round up.

Answer:

the answer is 5

Step-by-step explanation:

Number Rounded to Nearest Whole Number

4.645 5

5.645 6

6.645 7

7.645 8

8.645 9

9.645 10

10.645 11

11.645 12

12.645 13

13.645 14

Midpoint................

Answers

Answer:

EG =7

Step-by-step explanation:

Please mark me brainliest and 5 star

Answer:

[tex]7[/tex]

Step-by-step explanation:

[tex]look \: picture[/tex]

[tex]pls \: mark \: as \: brainliest[/tex]

What is the percent of change from 8,000 to 2,000?

Answers

Answer:

75% markdown

Step-by-step explanation:

If I am not mistaken, you can input this into everyday values like a shirt.

For example: If a shirt costs $8 but is on special for $2 then it is 75% off. Since 2 goes into 8 four times, 2 can be considered 25%. So since percent almost always add up back to 100, you take 100- 25 and you get a 75% markdown.

Or so I think, don't quote me on this.

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