solve using substitution
6x + 7y = - 1
x-y = 15

Answers

Answer 1

Answer:

(8, -7)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

6x + 7y = -1

x - y = 15

Step 2: Rewrite Systems

x - y = 15

[Addition Property of Equality] Isolate x:                                                         x = y + 15

Step 3: Solve for y

Substitution

Substitute in x [1st Equation]:                                                                           6(y + 15) + 7y = -1[Distributive Property] Distribute 6:                                                                 6y + 90 + 7y = -1Combine like terms:                                                                                         13y + 90 = -1[Subtraction Property of Equality] Isolate y term:                                           13y = -91[Division Property of Equality] Isolate y:                                                         y = -7

Step 4: Solve for x

Substitute in y [2nd Equation]:                                                                         x - (-7) = 15Simplify:                                                                                                             x + 7 = 15[Subtraction Property of Equality] Isolate x:                                                   x = 8

Related Questions

Select the correct answer from the drop-down menu.

Answers

Answer:

Step-by-step explanation: x^(105)-x^(3m)=0

Greg paid $33 for 2 shirts and $48 for 3 shirts including a fixed shipping fee assuming the same function applies to any numbers of shirts bought how much in dollars would 1 shirt cost before the shipping fee

Answers

Answer:

15 Dollars

Step-by-step explanation:

If you take the shipping price (3 dollars) off you get 15 per shirt

If Greg paid $33 for 2 shirts and $48 for 3 shirts including a fixed shipping fee then one shirt costs $15 before the shipping fee.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that Greg paid $33 for 2 shirts and $48 for 3 shirts including a fixed shipping fee.

We have to find the cost of one shirt before the shipping fee.

Let x be the cost of one shirt before the shipping fee.

Then, we can set up two equations based on the given information:

2x + shipping fee = 33

3x + shipping fee = 48

We can solve for the shipping fee by subtracting the first equation from the second:

3x + shipping fee - (2x + shipping fee) =48 - 33

x= 48 - 33

x = 15

So one shirt costs $15 before the shipping fee.

Hence,  if Greg paid $33 for 2 shirts and $48 for 3 shirts including a fixed shipping fee then one shirt costs $15 before the shipping fee.

To learn more on Equation:

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#SPJ3

I need help with this. Here’s the picture.

Answers

Answer:28% of classmates chose chocolate over vanilla28%

Step-by-step explanation: hope this helps

Help will mark brainlest

Answers

Dot 1 goes to Dotland

Dot 2 goes to Dotlandia

Dot 3 goes to Dotly World

Dot 4 goes to the Store

Dot 5 goes home like the little pig

What’s the product and the units

Answers

Answer:

114 mi

Step-by-step explanation:

[tex]6h*\frac{19 mi}{h}[/tex]=[tex]\frac{6h*19mi}{h} \frac{6*19mi}{1} =114mi[/tex]

Peter bought 5 pens and 8 pencils they cost him 13,25€. How much does one pencil and one Pen cost if the pencil 1,35€ cheaper than the pen​

Answers

Answer: 1.85€, 0.5€

Step-by-step explanation:

Given

Peter bought 5 pens and 8 pencils which costs 13.25€

The pencil is 1.35€ cheaper than the pen

Suppose the price of a pen and pencil is x and y

So, we can write

[tex]\Rightarrow 5x+8y=13.25\quad \ldots(i)\\\Rightarrow x-y=1.35\quad \ldots(ii)[/tex]

Solving the above equations, we get

[tex]x=1.85,y=0.5[/tex]

Therefore, the price of a pen and pencil are 1.85€ and 0.5€.

PLEASE HELP WILL MARK U BRAINLIEST

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

No

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Brainliest goes to whoever answers correctly try to show work ONLY if you can

Answers

Matt’s gym charges more to reserve the basketball court.

To determine Matt’s cost of reserving the court, look for the difference between the mostly cost each time the court is reserved another time.

The cost of reserving the court one time is: $52.75.

The cost of reserving the court two times is: $55.50.

$55.50 - $52.75 = $2.75, therefore the cost of reserving the court is $2.75.



However it’s important to check your work to make sure that the cost increases by a constant amount. Check the difference between each time the court is reserved another time.

The cost of reserving the court two times is: $55.50.

The cost of reserving the court three times is: $58.25.

$58.25 - $55.50 = $2.75. The cost of reserving the court for a third time is an additional $2.75.

Finally, The cost of reserving the court three times is: $58.25.

The cost of reserving the count a forth time is $61.

$61 - $58.25 = $2.75, therefore the incremental cost of reserving the cost a forth time is $2.75.

Based on the information, Matt’s gym charges $2.75 every time he wants to reserve a court, whereas Tyrell’s gym only charges him $2.00, therefore Matt’s gym charges more.

Which table shows a proportional relationship between weight and price?

Answers

Sorry I can not see the table and the relationships sorry wish I could help

Answer:

where the table??

Step-by-step explanation:

£280 is divided between Krutika, Natasha & Richard so that Krutika gets twice as much as Natasha, and Natasha gets three times as much as Richard. How much does Natasha get?

Answers

300 nata sell because of your new job and I don’t know

This dot plot is symmetric, and the data set has no
extreme values.

What is the best measure of center for this dot plot?
O A. The mean absolute deviation (MAD)
O B. The smallest value
O C. Either the mean or the median
D. The interquartile range (IQR)

Answers

Answer:

c. either the mean or the median

Step-by-step explanation:

mean - 3 median - 4

Answer:

c

Step-by-step explanation:

either the mean or median pls give brainlist

Can you please help? I'm stuck :(

Answers

The correct answer is C. 31

Sophia is going to invest $5,800 and leave it in an account for 5 years. Assuming the
interest is compounded annually, what interest rate, to the nearest hundredth of a
percent, would be required in order for Sophia to end up with $7,500?

Answers

Answer:

r≈5.28%

Step-by-step explanation:

adfgggggfefcenfnkekf​

Answers

It’s actually number 3 but yeah have a good day though

please help and show your work-desperate

Answers

Answer:

[tex]2\frac{7}{16}[/tex]  inches

Step-by-step explanation:

Since 1 mi = 5,280 ft., to convert miles to feet, multiply by 5,280.

96 mi. = 96(5,280 ft.)

96 mi. = 506,880 ft.

Since 1 ft. = 12 in., to convert feet to inches, multiply by 12.

506,,800 ft. = 506,880(12 in.)

506,880 ft. = 6,082,560 in.

The map scale is 1 in. represents 2,500,000 in.

[tex]\frac{6,082,560}{2,500,00} = 2.4330...[/tex]  

The distance on the map between Nanaimo and Campbell River is approximately [tex]2\frac{7}{16}[/tex]

PLZ HELP ASAP!!! Will give brainlest ❗️❗️❗️❗️

Answers

Answer:

I(-1,3)

Step-by-step explanation:

Moving 3 units left adds -3 to x value

Moving 6 units up adds 6 to the y value

2 - 3 = -1

-3 + 6 = 3

(-1,3)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

I'(-1, 3)

Step-by-step explanation:

Since you are moving the point 3 units left, you subtract 3 from the x-value, which is what is changing from that translation. Since you are moving 6 units up, you add 3 to the y-value, which is what is changing from that translation. Any horizontal translation will change the x-value and any vertical translation will change the y-value.

What is P55 ?

120


25


1


5

Answers

Answer:

There isn't really enough information to answer, if it's fine could you eloborate

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

In how many ways can you choose a cat?

Answers

What do you mean by choose a cat

Rewrite, using the distributive
property.
5(2x – 3y) = [?]* - [ ]y

Answers

Answer:

10x-15y

Step-by-step explanation:

So, when they say use the distrubutive property, they basically mean turning this:

a(b+c)

Into this:

ab+ac

So in this case, it would be:

5(2x-3y)

And we will turn it into:

10x-15y

ANother way to think about it is we are multiplying 2x by 5, and -3y by 5. So:

2x*5

=

10x

And

-3y*5

=

-15y

Then we can combine these two:

10x-15y

Hope this helps!

Jim bought a flat screen TV for $440 where the sales tax was
8%. How much money did Jim pay for this tv

Answers

Answer:

he paid a lot of money ouch

8% is also equal to 0.08
And “of” means multiply so 8% of 440 is 440*0.08 which equals 35.2
You add 35.2 to 440 because you are looking for the royal and you get your answer:
475.2
Please give brainliest

The total of three sister's ages is 39. Jennifer is half as old as Denise and 3 years younger than Anne.

How old are the sisters? Write a formula to show this.

Answers

Answer:

9 yr = jennifer's age

18 yr = denise's age

12 yr = anne'e age

Step-by-step explanation:

Let x = jennifer's age

then 2x = denise's age

and x + 3 = anne'e age

x + 2x + x + 3 = 39

4x + 3 = 39

4x = 36

x = 9 yr = jennifer's age

2x = 18 yr = denise's age

x + 3 = 12 yr = anne'e age

What is the gradient of the graph shown?

Answers

Answer:

-2

if we represent the graph on a system of axes we can see the 90% angle where the lines intersect

Graph y = 1 - x 2 and y = e -x on the same set of coordinate axes. Use the graph to find the positive solution of the equation 1 - x 2 = e -x to the nearest tenth. Will Give Brainlest

Answers

Ok Give Brainliest Ty :)

hello please help i’ll give brainliest

Answers

Answer:

the 2nd one

Step-by-step explanation:

Answer:

Step-by-step explanation:

The second statement is correct.  The comma indicates that the "favorite fruits" are identified right there and then.

2. 3, 6, 12, 24, 48, 96, ….
Circle one: Arithmetic or Geometric
Fill in the value of d = _____ or r = ______
Identify the value of the 5th term: _________

Answers

Answer:

geometric with r = 2

Step-by-step explanation:

An arithmetic sequence has a common difference between consecutive terms

6 - 3 = 3

12 - 6 = 6

24 - 12 = 12

48 - 24 = 24

96 - 48 = 48

As we see the differences are not common, so not arithmetic

A geometric sequence has a common ratio between consecutive terms.

6 ÷ 3 = 2

12 ÷ 6 = 2

24 ÷ 12 = 2

48 ÷ 24 = 2

96 ÷ 48 = 2

There is a common ratio of 2, so sequence is geometric

with 5th term = 48

what is the area of an isosceles triangle when the base is 10 and the height is 13?

Answers

Step-by-step explanation:

are if triangle equal 1/2 multiplied to height to base

so 1*10*13/2

so it will be 65

Plz help if it says it answered check because the robots comment in it

Answers

Answer:

3)

perpendicular

parallel

perpendicular

parallel

4)

parallel

perpendicular

parallel

NO LINKS OR FILES i WILL GIVE BRAINLIEST TO WHOEVER DOES IT CORRECTLY WITH NO LINKS OR FILES

Answers

i believe it would be 10%

Answer:

10

Step-by-step explanation:

it is 9.99 so you round up

[tex]\sqrt 2/\sqrt18[/tex]

Answers

Answer:

1/3

Step-by-step explanation:

We need to simplify the given radical form . Some properties that we will use is ,

[tex]:\implies[/tex] a / b = [ a/b]

The given radical form is ;-

[tex]:\implies[/tex] 2/18

We can write it as ,

[tex]:\implies[/tex] [ 2/18]

[tex]:\implies[/tex] [ 1/9]

[tex]:\implies[/tex] [1/]

[tex]:\implies[/tex] 1/3

Hence the required answer is 1/3.

A rectangular prism has a length of 84 inches, a width of 5 inches, and a height of 2 inches. Oscar has a storage container for the
prism that has a volume of 100 cubic inches.
What is the difference in volume between the prism and the storage container?
Enter your answer in the box as a simplified mixed number or a decimal.
in

Answers

The rectangular prism’s volume would need to be calculated.

Volume = length * width * height

Volume = 84 * 5 * 2

Volume = 840

The difference needs to be subtracted

840 - 100 = 740

740
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