Solve this system using elimination (20 POINTS)
4x-7y=3
x-7y=-15

Answers

Answer 1

Answer:

x = 6, y =3

Step-by-step explanation:

4x-7y=3

x-7y=-15

Multiply the first equation by -1

-4x+7y=-3

Then add this to the second equation to eliminate y

-4x+7y=-3

x-7y=-15

------------------

-3x +0y = -18

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

Now find y

x -7y = -15

6 -7y = -15

Subtract 6 from each side

6-7y-6 = -15-6

-7y = -21

Divide by -7

-7y/-7 = -21/-7

y =3


Related Questions

.Rachel goes shopping at HEB. She buys 1.4 pounds of ground beef. The cost per pound for ground beef is $2.50 per pound. She also buys a can of tomato sauce for $1.99 and a package of spaghetti for $1.75. What was the total amount that she paid for these items?

Answers

$2.50*1.4= $3.50
+$1.99+$1.75= $7.24

$7.24 is your answer


total: 7.24

adding all these up, we get $7.24

she pays:
$3.50 for 1.4lbs of ground beef (1.4 x 2.50)
$1.99 for sauce
$1.75 for spaghetti

Solve for x: 4 over 5 x + 4 over 3 = 2x x = Write your answer as a fraction in simplest form. Use the "/" symbol for the fraction bar. (2 points)

Answers

Answer:

x = 10/9

Step-by-step explanation:

Solve for x:

(4 x)/5 + 4/3 = 2 x

Put each term in (4 x)/5 + 4/3 over the common denominator 15: (4 x)/5 + 4/3 = (12 x)/15 + 20/15:

(12 x)/15 + 20/15 = 2 x

(12 x)/15 + 20/15 = (12 x + 20)/15:

(12 x + 20)/15 = 2 x

Multiply both sides by 15:

(15 (12 x + 20))/15 = 15×2 x

(15 (12 x + 20))/15 = 15/15×(12 x + 20) = 12 x + 20:

12 x + 20 = 15×2 x

15×2 = 30:

12 x + 20 = 30 x

Subtract 30 x from both sides:

(12 x - 30 x) + 20 = 30 x - 30 x

12 x - 30 x = -18 x:

-18 x + 20 = 30 x - 30 x

30 x - 30 x = 0:

20 - 18 x = 0

Subtract 20 from both sides:

(20 - 20) - 18 x = -20

20 - 20 = 0:

-18 x = -20

Divide both sides of -18 x = -20 by -18:

(-18 x)/(-18) = (-20)/(-18)

(-18)/(-18) = 1:

x = (-20)/(-18)

The gcd of 20 and -18 is 2, so (-20)/(-18) = (-(2×10))/(2 (-9)) = 2/2×(-10)/(-9) = (-10)/(-9):

x = (-10)/(-9)

Multiply numerator and denominator of (-10)/(-9) by -1:

Answer: x = 10/9

PLZ HELP :)
The graph of linear functions f(x) and g(x) are shown on the graph. Which function is best represented by the graph of g(x)?
A. g(x) = 3f(x)
B. g(x) = f(x)+3
C. g(x) = f(x-3)
D. g(x) = f(x+3)

Answers

The answer is A I think

find the total cost or sale price to the nearest cent and write your answer with a dollar sign

$2,500 jet ski; 6.5% tax

Answers

Answer:

$2662.5 is the answer in my opinion

What is the equation of the line that passes through the point (8,4) and has a slope of 3/2 ?

Answers

Answer:

y = [tex]\frac{3}{2}[/tex] x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{3}{2}[/tex] , thus

y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation

To find c substitute (8, 4) into the partial equation

4 = 12 + c ⇒ c = 4 - 12 = - 8

y = [tex]\frac{3}{2}[/tex] x - 8 ← equation of line

The equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or

[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).

Given:

a point on a line: (8, 4)

slope of the line: 3/2

The equation of the line can be written in either point-slope form or slope-intercept form.

First, let's write the equation in point-slope form since we know one of the points and the slope.

Point-slope equation takes the form: y - b = m(x - a)

Where,

(8, 4) = (a, b), andm = 3/2

Substitute

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] =>> point-slope form.

Also, we can rewrite in slope-intercept form as follows:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex]

Open bracket

[tex]y - 4 = \frac{3}{2}x - 12[/tex]

Add 4 to both sides

[tex]y - 4 + 4 = \frac{3}{2}x - 12 + 4\\\\y = \frac{3}{2}x - 8[/tex](slope-intercept form)

Therefore, the equation of a line that has a slope of 3/2 and passes through (8, 4) can be written as:

[tex]y - 4 = \frac{3}{2} (x - 8)[/tex] (point-slope form) or

[tex]y = \frac{3}{2}x - 8[/tex] (slope-intercept form).

Learn more here:

https://brainly.com/question/13967935

Mr. Zhou surveyed his 25 students to find out how much time they spent doing homework each week. The results of his survey are shown in the table below PLS HELP QUICK

Answers

Answer:

I think it's 12

Step-by-step explanation: i'm sorry if you got it wrong  have the same question to.... sorry

Answer:

it is 12

Step-by-step explanation:

I need help!
Comepare each pair of fractions using Greater than sign , less than sign and equal to.

Answers

Answer:

<< >> >=>= =>=< >><< ><<< >>==

Step-by-step explanation:

Answer:

>,>,>,>

>,>,>,<

<,>,<,>

>,<,<,<

=,=,=,<

James bill at a restaurant
is $39.50. If he wants to
tip his server 18% how
much money should he
leave?

Answers

Answer:

46.61

Step-by-step explanation:

18% of 39.50 = 7.11

39.50 + 7.11 = 46.61

Please help thank you

Answers

Answer:

Step-by-step explanation:

A: quotient  

B: dividend

C: divider

what is the answer to 66x10?

Answers

660 I hope it helps!!

Answer:

660

Step-by-step explanation:

66x10

=660.

So the answer is 660

Order the set of integers from greatest to least.



{8, 32, 55, 32, 19, 3

Answers

Answer:

55,32,32,19,8,3

Step-by-step explanation:

Answer:

55,32,32,19,8,3

Step-by-step explanation:

Find the distance traveled at 35 mi./hr for 2.5 hr

Answers

Answer:

5.0

Step-by-step explanation:

Answer: 87.5 miles

Step-by-step explanation:

Using the distance formula, S*T=D

35*2.5=87.5 miles

Hope is this helpful! :DD

1. What value is equivalent to 3 x 12 - (4 + 2)?

Answers

Answer:

30

Step-by-step explanation:

(3x12)-(4+2)

36-6

30

Answer: 30

Distribute the negative: 3 x 12-4-2
Use PEMDAS

47 multiplied by 6 is?

Answers

Answer:

282

Step-by-step explanation:

47*6=282

Forty seven six times.

-4x+5y-x-9y....guys need help ​

Answers

Answer:

-5x-4y

Step-by-step explanation:

Combine like terms:

-4x-x+5y-9y rearrange

-5x-4y.

Hope this helps :D

The answer is -5x-4y is you combine like terms

Write and evaluate the expression. Then, complete the
statements.
Miguel gave away five of the puppies.
Evaluate when p = 7.

Answers

Answer:

Step-by-step explanation:

Answer:First, write the expression

✔ p – 5

.

Second,

✔ substitute

7 in for the variable, p.

Third,

✔ simplify

by

✔ subtracting

7 and 5.

The answer is

✔ 2

Step-by-step explanation:

SINE COSINE and TANGENT ratios
(Type an integer or simplified fraction)

Answers

Answer:

17 / 8

Step-by-step explanation:

sec A = [tex]\frac{1}{cos A}[/tex]

cos A = [tex]\frac{40}{85}[/tex] = [tex]\frac{8}{17}[/tex] ⇒ sec A = [tex]\frac{17}{8}[/tex]

Mr. Accardi sold 600 tickets for the high school play. If adult tickets cost $6.00 each and student tickets cost $4.00 each, how many of each type of ticket did he sell if $2,900.00 was collected in ticket money?

Answers

Given:

Total number of tickets = 600

Cost of adult ticket = $6.00

Cost of student ticket = $4.00

Total sales = $2900.00

To find:

The number of tickets of each type.

Solution:

Let the number of adult tickets be x and number of student tickets be y.

According to the question,

[tex]x+y=600[/tex]        ...(i)

[tex]6x+4y=2900[/tex]      ...(ii)

Multiply equation (i) by 4 and subtract the result from (ii),

[tex]6x+4y-4(x+y)=2900-4\times 600[/tex]

[tex]6x+4y-4x-4y=2900-2400[/tex]

[tex]2x=500[/tex]

Divide both sides of 2.

[tex]x=250[/tex]

Put x=250 in (i).

[tex]250+y=600[/tex]

[tex]y=600-250[/tex]

[tex]y=350[/tex]

Therefore, number of adult tickets is 250 and number of student tickets is 350.

the area of a rectangle is 177 square meters the width is 9 meters what is the length of the rectangle

Answers

Answer:

19.67

Step-by-step explanation:

divide 177 by 9. the answer is 19.66666667, but you might have to round ;)

can someone help me​

Answers

Answer:

16.25

Step-by-step explanation:

6.5 + 5 = 32.5/2 = 16.25

A 2-column table with 4 rows. Column 1 is labeled Item Sold with entries Microwave Oven, Refrigerator, Dishwasher, Washing Machine. Column 2 is labeled Sale Price with entries 130 dollars, 600 dollars, 300 dollars, 350 dollars.

Rashad works at an appliance store. He earns 10 percent of the total amount he sells. The table shows the amount of sales he made in one day.

What is the total amount of Rashad’s sales?


How much does Rashad earn from his sales?

Answers

Answer:

1.)  1,380

2.) 138

Step-by-step explanation:

I know i'm 5 days late but why let the question go to waste

If  He earns 10 percent of the total amount he sells, He would Get-

The total amount of Rashad’s sales- 1,380

How much does Rashad earn from his sales- 138

Have a Nice day!

Answer:

1380

138

Step-by-step explanation:

You and your friend went shopping. You bought 2 hats and 3 pairs of gloves for $28.25. Your friend bought 1 hat and 1 pair of gloves for $12.25. How much did one hat cost? How much did one pair of gloves cost? (Answers should reflect the real world scenario by including appropriate units.)

Answers

Answer:

One pair of gloves costs $3.75.

Step-by-step explanation:

Systems of equations

x=hats y=gloves

2x+3y=28.25  

x+y=12.25

2(12.25-y)+3y=28.25

24.5+y=28.25

y=3.75

x^2+1=0
What are the roots of this equation?
Thanks!

Answers

x² + 1 = 0

=> (x+1)² - 2x = 0

=> x+1 = √(2x)

or x - √(2x) + 1 = 0

Now take y=√x

So, the equation changes to

y² - y√2 + 1 = 0

By quadratic formula, we get:-

y = [√2 ± √(2–4)]/2

or √x = (√2 ± i√2)/2 or (1 ± i)/√2 [by cancelling the √2 in numerator and denominator and ‘i' is a imaginary number with value √(-1)]

or x = [(1 ± i)²]/2

So roots are [(1+i)²]/2 and [(1 - i)²]/2

Thus we got two roots but in complex plane. If you put this values in the formula for formation of quadratic equation, that is x²+(a+b)x - ab where a and b are roots of the equation, you will get the equation

x² + 1 = 0 back again
So it’s x=1 or x=-1

this is the answer for this question

Juan is making a cookout and needs 5 kilograms of fajita. There are approxiently 450gras in 1 pound. Which measurement is closest to the number of pounds in 5 kilograms

Answers

Answer:

The measurement closest to the number of pounds in 5 kilograms is 11.1 pounds

Step-by-step explanation:

To determine the measurement closest to the number of pounds in 5 kilograms,

First, we will convert 5 kilograms to grams. Let the value in grams be x grams.

(NOTE: 1 kilogram = 1000 grams)

If 1 kilogram = 1000 grams

Then, 5 kilograms = x grams

x = (5 × 1000) / 1 grams = 5000 grams

∴ 5 kilograms = 5000 grams

Now, we will determine the measurement closest to the number of pounds in 5000 grams. Let the number of pounds in 5000 grams be y.

From the question,

There are approximately 450grams in 1 pound

If there are 450 grams in 1 pound

Then, there will be 5000 grams in y pounds

y = (5000 × 1) / 450 pounds = 11.1 pounds

y = 11.1 pounds

∴ 5 kilograms = 5000 grams = 11.1 pounds

Hence, the measurement closest to the number of pounds in 5 kilograms is 11.1 pounds.

someone please help look at picture

Answers

-16744323 or 32893-2^24

which equation represents the vertical line passing through (7,-3)
A. x=-3
B. y=-3
C. x=7
D. y=7

Answers

Answer:

B- y=-3

Step-by-step explanation:

take a look at the following set of data: 21,74,42,89,51,38,207 what word would describe the data point 133​

Answers

9514 1404 393

Answer:

  "missing"

Step-by-step explanation:

The value 133 is missing from the given data set.

Answer:

missing

Step-by-step explanation:

because its not in the data

1 $40.00 shirt is on a 10% off sale rack, What is the final price of the shirt 8.25%
tax is applicable?

Answers

Answer: 38.97

10% of 40 is 4
40-4=36
8.25% of 36 is 2.97
36+2.97= 38.97

Answer:

$38.97

Step-by-step explanation:

100% - 10% = 90% = 0.9

$40 × 0.9 = $36

100% + 8.25% = 108.25% = 1.0825

$36 × 1.0825 = $38.97

Mary made a 48.5% on her math test. Which of the following shows a fraction and a decimal equivalent to 48.5%? 485 A and 0.485 10.000 485 B and 48.5 100 485 С and 4.85 100 485 D and 0.485 1.000

please show me the work I need it right know☹️​

Answers

B.

you can eliminate A and D because grades are distributed by 100. and c only has 4.85 when the question says she made a 48.5

Explain how can you use place value to compare 1.679 and 1.697.
Thanks!

Answers

Answer:

Well, you look at each individual place value.

1.679 and 1.697

Compare 1 to 1. They are the same. Move on.

Compare 0.6 to 0.6. They are the same. Move on

Compare 0.07 and 0.09. They are not the same. 0.07 is less than 0.09

Therefore 1.679 < 1.697

Hope this helps :)

Please consider Brainliest :)

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