Solve the simultaneous equations
x + y = – 6
-x + 2y = 15

Answers

Answer 1

Answer:

x = -9, y = 3

Step-by-step explanation:

I hope it helps!


Related Questions

Which equations are true equations?

Select all correct answers.


62−22=4+7⋅22

54 ÷ 6 + 3² = 4 + 4²

8042=10−22−1

19−2⋅5=9⋅73−9

Answers

We want to see which ones of the given equations are true equations. Here we will see that the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.

1) 62 − 22 = 4 + 7⋅22

We just solve each side, we will get:

40 = 158

This is not a true equation.

2) 54 ÷ 6 + 3² = 4 + 4²

   9 + 9 = 4 + 16

   18 = 18

This is a true equation.

3) 8042 = 10 − 22 − 1

Clearly, this is not a true equation.

4) 19 − 2⋅5 = 9⋅73 −9

   19 - 10 = 657 - 9

           9 = 648

This is not a true equation.

Then the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

If you want to learn more, you can read:

https://brainly.com/question/21834784

As a fundraiser, a club is selling posters. The printer charges a $15 set-up fee, plus $0.85 for each poster. The cost y in dollars to print x posters is given by y = 0.85x +15.
(a) What is the cost y in dollars to print 30 posters? To print 100 posters?
(b) Find the number of posters x if the printer billed the club for costs of $185.
(c) Write the information from parts (a) and (b) as three ordered pairs.
(d) Use the data from part (c) to graph the equation.

(a) The cost y to print 30 posters is $___ and to print 100 posters is $___.

Answers

Answer:

See below for answer

Step-by-step explanation:

A.  y = 0.85x + 15     when x = 30

     y = 0.85(30) + 15

     y = 40.5

     y = 0.85x + 15        when x = 100

     y = 0.85(100) +15

     y = 100

B.    y = 0.85x + 15          when y = 185

      185 = 0.85x + 15

        185 - 15 = 0.85x

          170 = 0.85x

           170/0.85 = x

               200 = x  

C  (30, 40.5)

     (100, 100)

     (200, 185)

Bob eats 1/3 of a watermelon one day and 3/8 of it the next day.
a) which day did bob ate more watermelon, first or second?

b) Find the fraction of the watermelon that remains.

Answers

Answer:

A) Second, as 3/8 is larger than 1/3.

B) 7/24

Step-by-step explanation:

3/8 put as a decimal is 0.375. 1/3 is 0.3333 which means that 3/8 is greater than 1/3.

9/24 is another way to write 3/8. 8/24 is another way to write 1/3. 9 + 8 is 17. 17/24 has been eaten. Therefore, 7/24 remains.

Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number

Answers

The unknown number expressed as a mixed fraction is 11 19/20

Let the unknown number be "x"

The sum of the number and 1.75 is expressed as x + 1.75

Half the sum of a number and 1.75 is 1/2(x+1.75)

Equating the result to -5.1 wil give:

1/2(x+1.75) = -5.1

Solve the resulting equation

x + 1.75 = 2(-5.1)

x + 1.75  = -10.2

x = -10.2 - 1.75

x = 11.95

x = 1195/100

x = 11 95/100

Hence the unknown number expressed as a mixed fraction is 11 19/20

Learn more here: https://brainly.com/question/14583740

Answer

-11 19/20

I took the test and got it right!

What is 1/6 to the power of 3

Answers

Answer:

[tex]\frac{1}{216}[/tex]

Step-by-step explanation:

Exponents on fractions work like this:

[tex](\frac{x}{y} )^a=\frac{x^a}{y^a}[/tex]

Apply that to your problem:

[tex](\frac{1}{6} )^3\\\\\frac{1^3}{6^3} \\\\\frac{1}{216}[/tex]

Answer:

1/216

Step-by-step explanation:

1/6 x 1/6 is 1/36

1/36 x 1/6 is 1/216

if f(x) =3x-2 find f-1(x)

Answers

Answer:

1

Step-by-step explanation:

f(-1)= -3(-1) -2

f-1)=1

Find the perimeter.Simplify your answer.

Answers

Answer:

8y - 80

Step-by-step explanation:

    Perimeter, put simply, is all of the sides added up together. It will look like this:

(2y - 10) + (2y - 10) + (2y - 10) + (2y - 10)

    Now, let's simplify! We can tell that all of the sides are equal to 2y-10, so we can do this:

4(2y -10)

    Now we will distribute:

8y - 80

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Its jsut combining like terms

Perimeter is basically the out sides all  added up in this case everything is equal

so its

2y-10+2y-10+2y-10+2y-10

8y-40

8y-40 is your final answer

4x squared plus 20x minus 24 pls

Answers

The Answer will equal 4(x-1)(x-6)

Step by step explanation= 4x^2+20x-24, 16x+20x-24, 36x-24= 12x

Answer:

4(x-1) (x-6) as an evaluation OR 12x as the answer since you didn't include what it equals.

Step-by-step explanation:

4x^2+20x-24

16x+20x-24

36x-24

12x

What is an explanation or picture of how to work out the problem 8.13-2.716

Answers

Answer:

5.414

subtract 8.13 from 2.716 and u will get ur answer

blank as 9 hundred is 9 thousand​

Answers

Answer:

x = 10

Step-by-step explanation:

x × 900 = 9000

=> 900x = 9000

=> x = 10

Complete the table using the equation y = 8x + 8 ( helppp plsss)

Answers

Answer:

0, 8, 16, 24, 32

Step-by-step explanation:

plug in the values given for x into the 8x+8 equation

Example:

8(-1)+8

8(0)+8

Answer:

(-1, 0), (0, 8), (1, 16), (2, 24), (3, 32)

Step-by-step explanation:

To find answers to problems like these, take the x-value, which in this case is -1, and replace it with the variable,

y = 8*-1 + 8. Then do the rest, y = -8 + 8, y = 0. You already have the x, -1, and now you got y, 0. Then pit in ordered pairs, x first, then y, (-1, 0)

The best way to accurately solve real-life problems involving decimals is through/by?

Answers

Answer:

Rounding maybe

Step-by-step explanation:

I’m really bad at math please help me

Answers

x=20

Hope this helps!!

(I really need help ASAP)

Solve the exact solutions to the following linear systems using the most appropriate strategy

a.
2/5x – 2y = 9
y = 5x + 1

b.
15 = 3m + 5n
2x - 9y = 10

Answers

Answer:

a= 10     b=1

Step-by-step explanation:

I had the same question

In a scale model of a boat 1 inch represents 8 feet

Answers

Answer:That is amazing.

Step-by-step explanation:

tha t is just wonderful news, now what was the question?

Ricky Bobby was designing everything in the garden. He wanted the longest side to be 3 feet less than four times the shorter side. He used 50 feet of board to make the garden.

What are the dimensions of the garden that Ricky Bobby made?

How much area was there inside the garden?

If pumpkin plants need 5 ft.² of space to drive how many pumpkin plants can Ricky Bobby plant?


Helpp I don’t get this

Answers

Answer:

5.6 by 19.4

108.64 ft²

21 pumpkins

Step-by-step explanation:

Set length of shorter side as x. Then, the longer side is 4x - 3

He used 50 feet of board, which means, using the formula for perimeter:

x + 4x - 3 + x + 4x - 3 = 50

Simplify and solve.

10x - 6 = 50

10x = 56

x = 5.6

Plugging this back into our first two equations, we find that shorter side = 5.6 and longer side = 19.4

This means the dimensions of the garden are: 5.6 by 19.4

Area = length times width, so the area is 108.64 ft²

The plants need 5ft², so he can fix a maximum of 108.64 ÷ 5 = 21.728

Because you cannot have 0.728 pumpkins, he can only fit 21 pumpkin plants.

Please answer my question

Answers

Answer:

180 667 777 98827

Step-by-step

the graaph has three differnt lines that connet

Help please……………………………..

Answers

Answer:

Diagram number 3 is not a function.

Step-by-step explanation:

It isn't a function because C goes to 2 different numbers.

Answer: Choice (3)

Explanation:

For choice (3), the input C maps to more than one output (The values 1 and 3 at the same time). A function must have each input map to one and only one output. So this is why relation (3) is not a function.

The other answer choices (1), (2) and (4) have each input point to exactly one output. So these are functions that can be ruled out.

Using the formula find the slope of a line with the points (10,20) and (30,50).

Answers

Answer:

m = 2/3

Step-by-step explanation:

Slope is defined as the ratio rise/run.

As we move from (10, 20) to (30, 50), the run is 30 - 10, or 20, and the rise is 50 - 20, or 30.  Thus, the slope of the line is m = 30/20, or 2/3.

In one week, a bakery made 1,424 trays of 25 chocolate chip cookies. The bakery also baked 628
trays of 19 sugar cookies. How many cookies did the bakery bake during the week? ")

Answers

Answer:
The bakery baked 11,932 sugar cookies.
Explanation:
628 trays x 19 cookies = 11,932 cookies

They also baked 35,600 chocolate chip cookies. The total of BOTH cookies baked is 47,532. Hope this helped! ^^

Hello kind people I will be handing A brain-list
The Chang family is on their way home from a cross-country road trip. Their starting destination is 2,280 miles from their home. The Chang family can expect to decrease the distance from their home by 60 miles per hour.

Part A: Based on the information provided, write the function d(t) that represents the family's distance (in miles), d, from home after t hours of driving.

Part B: If rate at which the Chang family travels home continues at the same rate, determine the value of d(15) and describe what it means in reference to the situation.

Answers

Answer: d is 15 hrs

Step-by-step explanation:

Just substitute 15 in for t in 2280-60t and evaluate to get D(15)

D(15) is how many miles left to drive to get home after 15 hours

I don't know if this is 100% correct but I tried

Help me with this hw plz

Answers

Answer:

here

Step-by-step explanation:

А. parallelogram .............

Answer: A
Step-by-step explanation:

Guys help plzzzzzzzzzzzzz?!!!!

Answers

[tex]-2z -18 = -6 \\\\\implies -2(z+9)=-6\\\\\implies z + 9 = 3\\\\\implies z = 3-9 = -6[/tex]

a What is the slope of a line that passes through the points (1, 2) & (4, 12​

Answers

Answer:

10/3 or 3.33333

Step-by-step explanation:

Images Below

Hope this Helps

Solve the inequality and enter your solution as an inequality.

8 + x>4​

Answers

if any concerns or questions on solution, just comment

9. Allen and his two brothers decide to purchase a video game system together. They determine
that each person will need to pay $32.30. How much is the cost of the video game system?
I need a variable, equation, and the solution. Pls help!!!

Answers

Step-by-step explanation:

that is so simple, it is already difficult to make it formal, because there are only so few things to deal with. you really need help with this ?

you are not familiar with the situation "hey, this costs $10, we are 5 people, if we buy and then use it together, each one has to pay $2" ?

and this is just the other way around : if 5 people paid $2, how much did they pay together ? $10.

let's make it super formal :

price p = Allen contribution a + brother1 contribution b + brother2 contribution c

p = a + b + c

a = b = c = $32.30

p = $32.30 + $32.30 + $32.30 = 3×$32.30 = $96.90

based on the information in the table is the cost of the pizza proportional to the number of toppings?

Answers

I could help you out but there is no table to go off of.

Adding which of the following ordered pairs to the set {(0, 1), (2, 4), (3, 5)} would make it not a function?

Answers

Answer:

2

Step-by-step explanation:

Slope help please it is supposed to be easy

Answers

Look at the coordinates, y=4 in that coodinate meaning it is the y=intercept.

The slope u already know,

The formula for equation --> Y=mx+b

Answer: Y=3/4+4

The smallest non-zero real number by which √27 should be multiplied so as to get a rational number is:
[tex]a) \: \sqrt{3} \\ b) \: \frac{1}{ \sqrt{3} } \\ c) \sqrt{13} \\ d) \sqrt{27} [/tex]
I doubt between a) and b).
Please solve this and give me the accurate answer. Step-by-step solution needed. Spam free answer required.
Thank you in advance.​

Answers

Answer:

[tex]b)1/\sqrt{3}[/tex]

Step-by-step explanation:

Lets verify one-by-one:

a)

[tex]\sqrt{3} *\sqrt{27} =\sqrt{3*27} =\sqrt{81} = 9[/tex]

b)

[tex]1/\sqrt{3}*\sqrt{27} =\sqrt{1/3*27} =\sqrt{9} =3[/tex]

c)

[tex]\sqrt{13} *\sqrt{27} =\sqrt{13*27} =\sqrt{39*9} =3\sqrt{39}[/tex]

d)

[tex]\sqrt{27} *\sqrt{27} =(\sqrt{27})^2=27[/tex]

As we see in three cases we get rational number but the smallest one is 3, this indicates the answer is option b.

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