The ordered pair (3,9) is a solution to the system of
equations below because the values make both
equations true.
2x + 3 = y
2x + y = 15

Is (2,7) also a solution to this system of equations?
Yes
No
Explain your thinking.

Answers

Answer 1

Answer:

(2,7) is not a solution to the given system of equations.

Step-by-step explanation:

Given system of equation is:

2x + 3 = y

2x + y = 15

To check whether (2,7) is solution to this system or not, we will put x=2 and y=7 in both equations.

Putting x=2 and y=7 in Eqn 1

2(2) + 3 = 7

4 + 3 = 7

7 = 7

Thus the ordered pair satisfies the equation

Putting x=2 and y=7 in Eqn 2

2(2) + 7 = 15

4 + 7 = 15

11 ≠ 15

The ordered pair do not satisfy the second equation.

Hence,

(2,7) is not a solution to the given system of equations.


Related Questions

Find the solution of the equation in the interval 0° ≤ x < 360°

1. √3 csc x + 2 = 0

Answers

Step-by-step explanation:

√3cscx + 2 = 0

cscx = -2/√3

sinx = 1/cscx = -√3/2

We have the basic angle x = 60°.

(Because sin60° = √3/2)

Since sinx is negative, it must fall in Quadrants III or IV.

=> x = 180° + 60° or x = 360° - 60°

=> x = 240° or x = 300°.

Given that DE is a midsegment for ABC and the length of DE is 8 units. What is the length of BC?

Answers

Answer:

BC = 16 units

Step-by-step explanation:

Since DE is the midsegment of the triangle, based on the midsegment theorem, thus:

DE = ½(BC)

DE = 8 units

Plug in the value

8 = ½(BC)

Multiply both sides by 2

2*8 = BC

BC = 16 units

Martina has a rectangular poster that is 12 centimeters long and 10 centimeters wide. What is the area of the poster in square meters? Do not round your answer

Answers

Answer:

120m²

Step-by-step explanation:

length x width = 12 x 10

= 120

the value of m is a distance of 3 1/2 units from -2 on a number line which number if any could be a value of M

-5 1/2 -3 1/2 -2 -1 1/2 1 1/2 3 1/2 5 1/2

Answers

Answer:

100

Step-by-step explanation:

The difference between eleven and one-fourth of a number is no less than -8

translate it please

Answers

Answer 11+1/4n<-8

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

Answer:

5 cups

Step-by-step explanation:

1 pint = 2 cups

92 pints 1 cup =

= 92 * 2 cups + 1 cup

= 184 cups + 1 cup

= 185 cups

185 cups / 37 = 5 cups

Answer: 5 cups

9514 1404 393

Answer:

  2 pints 1 cup

Step-by-step explanation:

1 cup is 1/2 pint, so we have ...

  (92 1/2 pints)/37 = (185/2 pints)/37 = (185/74) pints = 2 37/74 pints

  = 2 1/2 pints

  = 2 pints 1 cup

Please CAN SOMEONE HELP ME OUT

Answers

Answer:#

i'm guessing 47.12

Step-by-step explanation:

A car traveled a total distance of 385 km. How long did it travel if its average speed was 55 kph?

Answers

Answer:

7 hours

Step-by-step explanation:

385/55 =7 ........

.

...

Answer:

6.5 hours

Step-by-step explanation:

to find time the equation is T=D/S

T= time D=distance S=speed

then you input what you know so

T=385/55

then I rounded to 6.5 hours

A plane travels south for 120 km. The plane then travels north for 45 km.

If north is taken as the positive direction, what is the displacement of the plane?

a. 75 km
b. –75 km
c. 165 km
d. –165 km

Answers

Answer:

b. -75

Step-by-step explanation:

It is already stated in the problem that north direction is positive. Hence, south is negative.We take 120km south to be -120km.Then, travelling north by 45km.We then add the two: -120km + 45km = -75km

Which fraction and decimal forms match the long division problem?

9) 2.000

18+

20

181

20

18

2

O A.

and 0.2

O

OB.

and 0.222

O c.

and 0.2

O D.

and 0.2

Answers

Answer:

Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?

Step-by-step explanation:

Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?Which fraction and decimal forms match the long division problem?

Find the value of the expression below if I = 10.
z? – 2 (x + 5) =

Answers

Answer:

10

Step-by-step explanation:

z−2(x+5)=

Use the distributive property to multiply −2 by x+5.

z−2x−10

(12p-5q^2-q)-(q^2-8q+9q^2)

Answers

Answer:

Hope this picture helps Plzz vote brainliest

Step-by-step explanation: When u simplify the answer is

Are they like terms? 3y & 3x

Answers

Answer:

no

Step-by-step explanation:

Answer:

No because they dont have the same variables

Step-by-step explanation:

I am a number between 17 and 25. I am a multiple of 3. 6 is not a factor of mine.

Answers

Answer:

21

Step-by-step explanation:

3 times 7 equals 21 and you cant make 21 with 6

(please mark me brainliest if you get it correct)

Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers
are stars. Select 2 statements that are true.

A.Katarina has 100 heart stickers.
B.Katarina has 375 star stickers.
C.The package contains 20 sheets of stickers
3
D.75% of the stickers are stars.
E.The number of heart stickers is the same as the number of star stickers

Answers

B is correct

25% of 500 is 125, 500-125 is 375 which is how many remaining star stickers there are.

The correct statement are;

B. Katarina has 375 star stickers.

D. 75% of the stickers are stars.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.

Now,

Since, Katarina bought a package of 500 stickers. 25% of the stickers are hearts. The remaining stickers are stars.

Hence, The number of hearts = 25% of 500

                                              = 25/100 × 500

                                              = 25 × 5

                                              = 125

And, Number of stars = 500 - 125

                                  = 375

                                  = 75% of 500

Thus, The correct statement are;

B. Katarina has 375 star stickers.

D. 75% of the stickers are stars.

Learn more about the percent visit:

https://brainly.com/question/24877689

#SPJ2

A line has a slope of 8 and passes through the point (0, 7). What is its equation in
slope-intercept form?

Answers

Answer:

y=8x+7

Step-by-step explanation:

find the y-intercept:

7=8(0) +b

b=7


n^2 + 16n+63 (factor)

Answers

Step-by-step explanation: This trinomial is in a special form

that can be factored into the product of two binomials.

So setup 2 sets of parenthses.

The first term in each set is a factor of n²

and since n factors as n times n, we use an n.

For the second term, use factors of the last term that

add to the coefficient of the middle term.

The factors of 63 that add to 16 are 9 and 7.

So we have (n + 9)(n + 7) which is our answer.

Is the ordered pair (0.5, 8.5) a solution to the following equations?

If you can please answer all

Answers

Answer:

It's yes

Step-by-step explanation:

Which table of values can be defined by the function y = 6x - 2?

Answers

Answer:

Simplifying

y = 6x + -2

Reorder the terms:

y = -2 + 6x

Solving

y = -2 + 6x

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying

y = -2 + 6x

A polygon is transformed according to the rule: (x, y)-(x + 2, y). Every point of the polygon moves two units in which direction?

Answers

Answer:

Every point of the polygon moves horizontal translation right '2' units

Step-by-step explanation:

Explanation:-

Type of transformation               Change of co-ordinate point            

Vertical transformation    

up  'd' units                                            (x, y ) → ( x , y +d)

Vertical transformation    

down  'd' units                                       (x, y ) → ( x , y -d)    

Horizontal transformation    

left 'c' units                                            (x, y ) → ( x-c , y )      

Horizontal transformation    

right 'c' units                                            (x, y ) → ( x+C , y )      

Given that  a polygon is transformed according to the rule: (x, y)-(x + 2, y)

∴ Every point of the polygon moves horizontal translation right '2' units

11) In a triangle, the ratio of the measures of three angles is 2:5:8. Find the measures of

each angle in the triangle. Show proportions.

Answers

Answer:

Sum of interior angles of a triangle always = 180 degrees

add the individual ratios to get a sum composite ratio:

2+5+8 = 15

180 / 15 = 12

Multiply individual ratios:

{2:5:8} * 12 = 24:60:96

Check:

24 + 60 + 96 = 180

Step-by-step explanation:

I hope it's help

Write the ratio of stars to squares​

Answers

Answer:

5 to 6, 5:6, or 5/6

Step-by-step explanation:

We have 5 stars and 6 squares, so their ratio is 5 to 6.

It would be 5/6 or 5:6

Question 10 (Mandatory) (2 points) Can a triangle be made from the side lengths? 4 cm, 6 cm, 9 cm Yes, one triangle can be made No, a triangle cannot be made​

Answers

Answer:

No, a triangle cannot be made.

Answer:

No, a triangle cannot be made

Step-by-step explanation:

I took the Quiz

What is 5 multiplied by 28380

Answers

Answer:

141,900

Step-by-step explanation:

I used the calculator :)

Answer:

141900

Step-by-step explanation:

At dinner last night, the total bill was $35.60. You left a 15% tip. What was the final price of your dinner?

Answers

Answer:

$40.94

Step-by-step explanation:

You first change 15% to .15

you then multiply that with 35.60

35.60

x   .15

-----------

you then get the answer $5.30 which is how much your tip is.

now that you know how much your tip is your going to add it to the original price 35.60.

you then will get $40.94 as your total answer!

hopes this helped!! ;)


what is 1/10 into a fraction

Answers

You just put it in a fraction 1/10

Triangle TUV is similar to triangle XYZ such that I and U correspond to X and Y , respectively. Each side of triangle TUV is the length of the corresponding side of triangle XYZ. The measure of angle V is 150°. What is the measure, in degrees, of angle Z? (Disregard the degree symbol when entering your answer.)​

Answers

Answer:

its 150°

Step-by-step explanation:

if the two triangles are equal, it means they have the same angles


Work out the percentage change when a price of £40 is increased to £70.

Answers

Answer:

75%

Step-by-step explanation:

70-40 = 30

30/40 = 0.75

0.75 = 75%

5. Atype of green paint is made by mixing 2 cups of yellow with 3.5 cups of blue.
a Find a mixture that will make the same shade of green but a smaller amount.

Answers

1 cup of yellow and 1.75 cups of blue

Answer:

2 and 4 ,1 and 3

Step-by-step explanation:

you just subtract some amount from one number and add to another

pls help me i need it pls

Answers

Answer:

1) 12

2) 23

3) 95 with a reminder of 1

4) 30

5) 50 with a reminder of 4

6) 31

Step-by-step explanation:

Answer:

1)12

2)23

3)22

4)30

5)19

6)31

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