use the substitution method to solve the system of equations. choose the correct ordered pairs
-x=-y-6
x+2y=12
a. (7,1)
b. (8,2)
c. (6,0)
d. (9,3)

Answers

Answer 1

Answer:

c. (6, 0)

Step-by-step explanation:

First, add y on both sides of the first equation, so it's easier to solve:

-x+y = 6

x+2y = 12

Then, add the 2 equations:

3y = 18

y = 6

Since c is the only one with a 6, we can deduce that the answer is c.

We can further check by plugging y back into the first equation:

-x+6 = 6

-x = 0

x = 0

This confirms that the answer is c.

I hope this helped.


Related Questions

Triangle XYZ is rotated to create the image triangle X'Y'Z'.

On a coordinate plane, 2 triangles are shown. The first triangle has points X (negative 2, 2), Y (1, 2), Z (0, 4). The second triangle has points X prime (2, negative 2), Y prime (negative 1, negative 1), Z prime (0, negative 4).
Which rules could describe the rotation? Select two options.

R0, 90°
R0, 180°
R0, 270°
(x, y) → (–y, x)
(x, y) → (–x, –y)

Answers

Answer:

The correct option is;

R0, 180°

Step-by-step explanation:

The coordinates of ΔXYZ are given as follows;

X(-2, 2), Y(1, 2), Z(0, 4)

The coordinates of ΔX'Y'Z' are given as follows;

X'(2, -2), Y'(-1, -1), Z'(0, -4)

Whereby, the coordinates of the point Y' is (-1, -2), we have the rule that describe the transformation of ΔXYZ to ΔX'Y'Z', given as follows

Coordinates of the preimage = (x, y)

Coordinates of the image = (-x, -y)

Which is in accordance with the transformation by rotation 180° about the origin.

Answer:

b,e

Step-by-step explanation:

three consecutive even numbers whose sum is -42

Answers

Answer:

-12, -14, -16

Step-by-step explanation:

x + (x+2) + (x+4) = -42

3x + 6 = -42

Isolate the variable 3x by subtracting 6 from both sides

3x = -48

Then isolate the variable x by dividing 3 from both sides

x = -16

Then add 2 for the 2nd number

Then add 4 for the third number

what is 3 1/4 - (-5/8)

Answers

Answer:

First we need to find a common denominator;

3 1/4 and -5/8 have a common denominator of 8

-5/8 already has 8 now we alter 3 1/4 to have 8 as the denominator as well.

if we make 3 1/4 into an improper fraction we would get 13/4

13/4 x 2/2 = 26/8, because 2 x 4 = 8 so we also apply that to the numerator

Now we have;

26/8 - (-5/8)

the two negatives combine to make a positive:

26/8 + 5/8

= 31/8 which simplifies to

3 7/8

i need help with this please ​

Answers

a) 2/7

There are a total of 14 pairs of socks (4+2+8) so 14 is your denominator.

Then you take however many red socks there are and that is your numerator (4).

Then you simplify. 4/14 ; 2/7

b) 1/4

There are a total of 40 headbands (10+6+24) so 40 is your denominator.

Then you take however many red headbands there are and that is your numerator (10).

Then you simplify, 10/40 ; 2/8 ; 1/4

c) 15/28

You then add 2/7 and 1/4.

what is 3/4 ÷ 1/8 i trying to study​

Answers

Answer:

Should be 6

Step-by-step explanation:

Find the value of z and z+ 45.

Help fast!

Answers

Answer: z =  144 . so therefore , z + 45 = 189

Step-by-step explanation: good luck . <3

The polygons are similar. Find the value of x.
2-
Р
X
X
20
21
14
5
Q 12 R
L
18
K

Answers

Answer:

x = 30

Step-by-step explanation:

 12 : 20 = 18 : x

⇒ 12/20 = 18/x

⇒ 12x = 18 · 20

⇒ 12x = 360

⇒ x = 360 ÷ 12

⇒ x = 30

[tex]\\ \rm\Rrightarrow \dfrac{21}{x}=\dfrac{14}{20}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{21}{x}=\dfrac{7}{10}[/tex]

[tex]\\ \rm\Rrightarrow 7x=210[/tex]

[tex]\\ \rm\Rrightarrow x=30[/tex]

Can Anybody do This for me please hurry

Answers

Answer:

-33

-20

-4

6

3

Step-by-step explanation:

I apologize if I get any wrong

Is the simplified form of 2 square root of 3 ⋅ square root of 12 rational? (1 point) Yes No

Answers

Answer:

yes thats correct

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Is the simplified form of 2 square root of 3 ⋅ square root of 12 rational?

Simplifying

2√3 - √12 =2√3 - √4*3=2√3 - 2√3=0

0 is rational, so the answer is Yes

Sydney and Elijah are working on creating a garden. They go to the store and buy 29 flower stems and spent $120.94. Elijah and Sydney only bought lilies and peonies, lilies cost $3.42 per stem and peonies cost $4.78 per stem. How many lily stems did they buy? How many peony stems did they buy?

Answers

Given:

Total number of flower they buy = 29 stems

Total cost = $120.94

Lilies cost = $3.42 per stem

Peonies cost = $4.78 per stem

To find:

The number of lily stems and peony stems did they buy.

Solution:

Let number of lily stems = x

Number of lily stems and peony stems = y

According to given information,

[tex]x+y=29[/tex]                           ...(i)

[tex]3.42x+4.78y=120.94[/tex]                ...(ii)

From (i) and (ii), we get

[tex]3.42x+4.78(29-x)=120.94[/tex]

[tex]3.42x+138.62-4.78x=120.94[/tex]

[tex]-1.36x=120.94-138.62[/tex]

[tex]-1.36x=-17.68[/tex]

Divide both sides by -1.36.

[tex]x=\dfrac{-17.68}{-1.36}[/tex]

[tex]x=13[/tex]

Put x=13 in (i).

[tex]13+y=29[/tex]

[tex]y=29-13[/tex]

[tex]y=16[/tex]

Therefore, number of lily stems is 13 and number of lily stems and peony stems is 16.

x+4 over x^2-5x+6 ÷ x^2-16 over x+3

Answers

Answer:

x =± 4

Step-by-step explanation:

Solve for x:

x^2 - 16 = 0

The left hand side factors into a product with two terms:

(x - 4) (x + 4) = 0

Split into two equations:

x - 4 = 0 or x + 4 = 0

Add 4 to both sides:

x = 4 or x + 4 = 0

Subtract 4 from both sides:

Answer: x =± 4

Answer: (x + 3) / (x - 2)(x - 3)(x - 4)

Step-by-step explanation:

The problem given can be viewed as

a/b over c/d

where a/b is the top fraction and c/d is the bottom fraction.

This can be rearranged to

a × d / b × c

So, you will have:

(x + 4)(x + 3) / (x² - 5x + 6)(x² - 16)

Now, factor the two bottom polynomials so you end up with:

(x + 4)(x + 3) / (x - 2)(x - 3)(x + 4)(x - 4)

Cancel the (x + 4) on the top and bottom so you’re left with the answer:

(x + 3) / (x - 2)(x - 3)(x - 4)

If you need to find the solutions to x, set the denominator equal to zero.

x = 2

x = 3

x = 4

Jordan has three $100 bills, four $20 bills, one $10 bill, and eight $1 bills. What will Jordan’s total be if Jayla gives him one more $20 bill? Jordan’s total will be Fill in the blank text field 1 . What will his total be if she gives him one more $100 bill instead? Jordan’s total will be Fill in the blank text field 2

Answers

Answer:

$418

$498

Step-by-step explanation:

Jordan has - 3 * $100 = $300,

                     4 * $20 = $80,

                     1 * $ 10 = $10,

                     8 * $1 = $8

Total =              $398

Jordan’s total will be $418 if Jayla gives him one more $20 bill?

Jordan’s total will be $498 if Jayla gives him one more $100 bill?

Jordan's total will be $438 if Jayla gives him one more $20 bill.

Jordan's total will be $498 if Jayla gives him one more $100 bill.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If Jayla gives Jordan one more $20 bill, then Jordan will have:

3 x $100 = $300

5 x $20 = $100

1 x $10 = $10

8 x $1 = $8

1 x $20 = $20

Adding these up gives:

$300 + $100 + $10 + $8 + $20 = $438

Jordan's total will be $438 if Jayla gives him one more $20 bill.

If Jayla gives Jordan one more $100 bill instead, then Jordan will have:

4 x $100 = $400

4 x $20 = $80

1 x $10 = $10

8 x $1 = $8

Adding these up gives

$400 + $80 + $10 + $8 = $498

Therefore,

Jordan's total will be $438 if Jayla gives him one more $20 bill.

Jordan's total will be $498 if Jayla gives him one more $100 bill.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

Find the equation of the line that contains the point (-1,-7) and is parallel to the line 2x + 7y=9 . Write the equation in​ slope-intercept form, if possible.

Answers

Answer:

y=-2/7x-61/7

Step-by-step explanation:

convert to slope intercept form

2x+7y=9

7y=-2x+9

y=-2/7x+9/7

slope is -2/7

-7-2/7=-51/7

y=-2/7x-61/7

Answer:

[tex]y=-\frac{2}{7}x-\frac{51}{7}[/tex]

Step-by-step explanation:

Hi there!

We are given the line 2x+7y=9

We want to find the equation of the line that contains the point (-1, -7), and that is parallel to the equation above

Parallel lines have the same slopes.

So we need to find the slope of 2x+7y=9

One way to do this is to convert 2x+7y=9, which is currently in standard form (ax+by=c) into slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

In slope-intercept form, y is isolated by itself, so let's start by moving 2x to the other side (it removes it from the left side)

2x+7y=9
-2x      -2x

____________
7y=-2x+9

Now divide both sides by 7

[tex]y=-\frac{2}{7} x + \frac{9}{7}[/tex]

in this equation, -2/7 is in the place of where m should be. This means that -2/7 is the slope of this line.

It is also the slope of the line parallel to it.

The instructions want us to write this equation in slope-intercept form, so let's plug -2/7 as m into the formula.

Here is the equation of the line so far:

[tex]y=-\frac{2}{7}x + b[/tex]

Now we need to find b.

As the equation contains the point (-1, -7), we can use it to help solve for b.

Substitute -1 as x and -7 as y into the equation

[tex]-7=-\frac{2}{7}(-1) + b[/tex]

Multiply

[tex]-7=\frac{2}{7} + b[/tex]

Subtract 2/7 from both sides

[tex]-\frac{51}{7} = b[/tex]

Substitute -51/7 as b in the equation

[tex]y=-\frac{2}{7}x-\frac{51}{7}[/tex]

Hope this helps!

See more on this topic here: https://brainly.com/question/25658338

A store owner paid $15 for a dvd. he marked up the price of the dvd by 30% to determine his selling price. what is his selling price to the nearest hundredth (do not include a dollar sign in your answer)?

Answers

The selling price of the DVD that has a cost of 15 dollars is 19 dollars and 50 cents.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A store owner paid $15 for a DVD.

He marked up the price of the DVD by 30%.

The cost price is $15.

Then the selling price will be given as

Selling price = 15 × 1.3

Selling price = $19.50

The selling price is 19 dollars and 50 cents.

More about the percentage link is given below.

https://brainly.com/question/8011401

11. Find the measure of

Answers

Answer:

kpm is about 110.02 degrees

Step-by-step explanation:

-kpl and npm are vertical angles, so they're congruent

-npm and lpm are supplementary angles, meaning they add to 180 degrees

we r given:

npm = 14x - 22

lpm = 7x + 4

add these and set equal to 180:

14x - 22 + 7x + 4 = 180

then combine like terms:

21x -18 = 180

isolate the variable by adding 18 on both sides:

21x = 198

divide by 21 on both sides:

x = about 9.43

since kpl and npm r congruent, plug in the value of x in npm (14x-22):

14(9.43)-22

= 110.02

A magazine wants to publish an article about the world's wealthiest people and plans to publish
the net worth of those people to the nearest half of a billion dollars. Which two could be numbers
that get published in the magazine?
15.0 billion dollars
17.2 billion dollars
25.5 billion dollars
37.15 billion dollars
51.245 billion dollars

Answers

51.245 and 37.15

since they are both the highest

Write the equation of a line that is parallel to y=-0.75x and that passes through the point 8,0

Answers

Answer:

Y=-0.75+6

Step-by-step explanation:

Y=mx+B

m= -0.75

when Y=0 and x=8, b=6

Solve the following equation.
36-3|x| = 18
A.
x = 18 or x= -6
в.
x= 18 or x = -18
C.
x = 6 or x= -18
D. X= 6 or x= -6

Answers

Answer:

D. x=6 or x=(-6)

Step-by-step explanation:

if x is in modulus, whatever number you input will yield a positive number.

36 - 3|6| =18

36 - 3|-6|=18

Answer:D. x=6 or x=(-6)

Step-by-step explanation:

if x is in modulus, whatever number you input will yield a positive number.

36 - 3|6| =18

36 - 3|-6|=18

Step-by-step explanation:

A copy machine can make 360 copies in an hour. How long will it take for the copy machine to make 150 copies?

Answers

Answer:

it takes 25 minutes.

Step-by-step explanation:

divide 150 by 6

Tina built a triangular sign with side lengths of 73 inches, 55 inches and 4 feet. Is the sign a right triangle? Why or why not?

Answers

Answer:

yes, It's  a right triangle.

Step-by-step explanation:

First, lets convert the 4 feet into inches. You get 48 inches. 48 squared plus 55 squared equals 5329 which is equal to 73^2.

Find the smallest numbeve which when divided
by
25,45,63 and 84 leaves the remainder
7 in each case.​

Answers

Answer:

[tex]\boxed{\bold{\huge{\text{ 6307 }}}}[/tex]

Step by step explanation

See attached file.

100x100 what is the quetion

Answers

Answer:

10000

Step-by-step explanation:

100 x 100

1 x 100 = 100

Add 2 more zeros at the end of your answer

10000

(pretty sure this is a troll but there is your answer)

Answer: 10,000.

Step-by-step explanation:

If you get 100 then added 100 times itself 100 times you'll get 10,000

A rectangular prism has a length of 5 centimeters a width of 5 centimeters, and a helght of 10 centimeters. The surface
area of this prism is 250 square centimeters.
The
False

Answers

Answer:

True you need to use the surface area formula

Step-by-step explanation:

(wl+hl+hw)

45% of a number is 180. Find the number

Answers

Answer:

400

Step-by-step explanation:

Let the number be known as "x".

Given statement:

45% of a number is 180.

The term "of" defines multiplication between two terms. In this case, the terms are 45% and the number "x". Therefore,

     ⇒ 45% × x = 180

When we convert a percentage into a fraction, simply divide the percentage by 100 and remove the percentage sign to obtain the result in fraction form.

     ⇒ 45/100 × x = 180

Multiplying 45/100 and x:

     ⇒ 45/100 × x = 180

     ⇒ 45x/100 = 180

Using cross multiplication:

     ⇒ 45x/100 = 180

     ⇒ 45x = 180 × 100

Simplifying the right-hand-side:

     ⇒ 45x = 180 × 100

     ⇒ 45x = 18000

Dividing 45 to both sides of the equation:

     ⇒ 45x = 18000

     ⇒ 45x/45 = 18000/45

     ⇒ x = 18000/45 = 400

Therefore, the number is 400.

How do you write 66 in scientific notation

Answers

The correct answer it’s 6.6 x 10^1

Answer:6.6 x 101

Step-by-step explanation:

help please !!!!!!!!!

Answers

Answer:

131 is the answer

Kayla has 8 apples. she wants to give 3 fourths of the apples to her friends.
how many apples will her friends get?

Answers

Answer: 6 apples

Step-by-step explanation:

Number of apples divided by denominator times the numerator

8÷4=2×3=6

What is the value of z in the equation 3z + 5 = 4z - 8?
0 1
o-1
13
0-13

Answers

Answer: 13

Step-by-step explanation:

Pls help me with this​

Answers

Answer:

C. x = {1/5, 1}

Step-by-step explanation:

2|6x - 2| = 8x

2(6x - 2) = 8x and 2(6x - 2) = -8x

2(6x - 2) = 8x

  12x - 4 = 8x    

         4x = 4

           x = 1

2(6x - 2) = -8x

  12x - 4 = -8x

      20x = 4

         x = 4/20

         x = 1/5

says find the measure of the indicated angle need to show work!!!! pls help marking brainliest!!!

Answers

Answer:

.9

Step-by-step explanation:

sinx=opp/hyp 18/20=.9

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