determine which ordered pair is a solution to the system of equations. A. (-2,-1) B. (-1,-2) C. (2,7)

Determine Which Ordered Pair Is A Solution To The System Of Equations. A. (-2,-1) B. (-1,-2) C. (2,7)

Answers

Answer 1

Answer:

  C.  (2, 7)

Step-by-step explanation:

It is fairly easy to try the offered points in the equations to see which works.

  A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3

__

  B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6

__

  C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3

(2, 7) is a solution to the system of equations.

_____

If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.

  2x -y = -3

  3x -y = -1

Subtracting the first from the second gives ...

  (3x -y) -(2x -y) = (-1) -(-3)

  x = 2 . . . . . matches choice C


Related Questions

On a map, two cities are 5 3/4 inches apart. the scale of the map is 1/2 inch equals 3 miles. what is the actual distance between the towns?

Answers

Answer:

18

Step-by-step explanation:

5.5 x 3=16.5

Add 1.5 and you get 18

Please help
Me solve this ASAP

Answers

Answer:

i dont know it looks complicated

Step-by-step explanation:

copy paste then search it, you might find it.

Evaluate the expression below at x = 6.
i linked the numbers in a image

A.
606
B.
396
C.
468
D.
1,692

Answers

Answer:

B

Step-by-step explanation:

you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468

which lines are parallel? how do you know?

Answers

Lines B and C are parallel as they have the same slope

Write the equation of the line that passes through the points (-7,7) and (-6,-5)

Answers

Answer:

y= -12x - 77

Step-by-step explanation:

HOPE THIS HELPS

Jason likes to play video games. His parents allow him to play

Answers

Answer:

If its for a reasonable time yes, most parents will let their child to play a reasonable time. However, if things get out of control resulting the child being addicted to video games. It is the child's fault and parent's fault

School days: 0 to 60 minutes per day On school days and 2 hours or less on non- school days. There is some advantages in gaming. But in all don't play to much if so, your body will melt. ( not really but melt melt)

PLEASE HELP

Timmy has a collection of 95 coins consisting of
dimes and nickels in his piggy bank. The total value of his
bank is $6.50. How many dimes are in his collection? How
many
nickels are in the collection?


Answers

Answer:

35 dimes and 60 nickels

Step-by-step explanation:

let d = # of dimes and n = # of nickels

We know that Timmy has a total of 95 coins, consisting of dimes and nickels

So d + n = 95

The total value of his bank is $6.50

A dime is worth $0.10 and a nickel is work $0.05

So 0.10d + 0.05n = $6.50

Note that we've just created a system of equations that we can solve

We have the two equations

0.10d + 0.05n = 6.50 and d + n = 95

There are many different methods we can use to solve this system but the easiest way in this situation is probably going to be the substitution method.

First we are going to want to rearrange the terms of the second equations so that one of the variables are defined.

d + n = 95

- subtract d from both sides -

n = 95 - d

We now defined "n"

Now that we have defined one of the variables we can plug in ( or substitute ) the value of it into the other equation. Once we substitute it we can solve for the other variable.

0.10d + 0.05n = 6.50

n = 95 - d

0.10d + 0.05(95 - d) = 6.50

we now solve for d

0.10d + 0.05(95 - d) = 6.50

step 1 distribute the 0.05

0.05 * 95 = 4.75 and 0.05 * -d = -0.05d

0.10d + 4.75 - 0.05d = 6.50

step 2 combine like terms 0.10d  - 0.05d = 0.05d

0.05d + 4.75 = 6.50

step 3 subtract 4.75 from both sides

0.05d = 1.75

step 4 divide both sides by 0.05

0.05d / 0.05 = d and 1.75 / 0.05 = 35

d = 35

Now that we have found the value of one variable we can plug it into one of the equations and solve for the other variable ( note that the equation that we use does not matter, we will acquire the same answer )

d + n = 95

d = 35

35 + n = 95

subtract 35 from both sides

n = 60

We can conclude that he has 35 dimes and 60 nickels

The product of w and 2 is greater than or equal to 19.

Answers

Equation Form:

w x 2 [tex]\geq[/tex] 19

Divide both sides by 2:

w [tex]\geq[/tex] 9.5

So, w must be equal to or greater than 9.5 for this equation to work.

How would you write 5 times a number Y?

Answers

Answer:

If you mean multiply I think

5y

Step-by-step explanation:

subtract:-

-5/12 from 2​

Answers

2 5/12 or 29/12

hope it helps ?

study well:)

Answer:  Deopends.  See below.

Step-by-step explanation:

-5/12 from 2​

The question is poorly worded.  Is it asking us to subtract -5/12 from 2?  Or are we being asked to subtract 5/12 from 2?

Assuming the first:

2 - (-5/12)

2 + 5/12

2 5/12 or 24/12 + 5/12 = 29/12

Assuming the second:

2 -5/12

24/12 - 5/12

19/12

Make x the subject of the formula,
y (x-4) squared +6

Answers

Answer:

Is "y (x-4) squared +6":     y = (x-4)^2 + 6?

If so,

x = y^(1/2) - 6^(1/2) + 4

Step-by-step explanation:

Assuming the equation is:  y= (x-4)^2 + 6

y^(1/2)= (x-4) + 6^(1/2)

(x-4) = y^(1/2) - 6^(1/2)

x = y^(1/2) - 6^(1/2) + 4

I need help with solving a system of equations using elimination

Answers

Answer:

do it your self.

Step-by-step explanation:

If one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, then how long would it take 8 workers and 5 bandits to lay 1400 bricks?

Answers

It will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.

Given that one worker can lay 10 bricks every hour, and one bandit steals 3 bricks every hour, to determine how long it would take 8 workers and 5 bandits to lay 1400 bricks, the following calculation must be performed:

10 - 3 = 7 5 x 7 + 3 x 10 = X 35 + 30 = X 65 = X 1400/65 = X 21.53 = X

Therefore, it will take 21.53 hours for 8 workers and 5 bandits to lay 1400 bricks.

Learn more about quantities in https://brainly.com/question/21477139

the difference between 3 1/2 and 1 4/5 is

Answers

Answer:

1 7/10

Step-by-step explanation:

3 1/2 - 1 4/5 = ?

3 5/10 - 1 8/10 = ?

2 5/10 - 8/10 = ?

1 15/10 - 8/10 = 1 7/10

What is the simplified form of the expression? HELP ASAP

Answers

Answer:

[tex]360[/tex]

Step-by-step explanation:

[tex] \frac{5(14 - 2)^{2} }{2} = \frac{5 {(12)}^{2} }{2} = \frac{5(144)}{2} \\ \\ \frac{720}{2} = 360[/tex]

Answer:

The answer is option (d) 360.

Step-by-step explanation:

Solution :

[tex]\implies{\tt{\dfrac{5(14 - 2)^{2} }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(12)^{2} }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(12 \times 12) }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5(144) }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5 \times 144 }{2}}}[/tex]

[tex]\implies{\tt{\dfrac{5 \times \cancel{144}}{ \cancel{2}}}}[/tex]

[tex]\implies{\tt{5 \times 72}}[/tex]

[tex]\implies{\tt{360}}[/tex]

[tex]\dag{\underline{\boxed{\sf{\red{360}}}}}[/tex]

Hence, the answer is 360.

[tex]\rule{300}{1.5}[/tex]

Learn More :

✧ BODMAS :

↝ BODMAS rule is an acronym used to remember the order of operations to be followed while solving expressions in mathematics.

It stands for :-

 B - Brackets,

O - Order of powers or roots,

 D - Division,

 M - Multiplication 

 A - Addition

S - Subtraction.

↝ It means that expressions having multiple operators need to be simplified from left to right in this order only.

✧ BODMAS RULE :

↝ First, we solve brackets, then powers or roots,then division or multiplication (whatever comes first from the left side of the expression), and then at last subtraction or addition.

 Addition (+)

 Subtraction (-)

 Multiplication (×)

 Division (÷)

 Brackets ( )

[tex]\rule{300}{1.5}[/tex]

* 5.) Write the following in standard form.* 5.8709 x 107
58, 709
58,709,000
5,870,900
587,090​

Answers

Answer:

5.8709 x 10 to the 4th power = 58,709

5.8709 x 10 to the 7th power = 58,709,000

5.8709 x 10 to the 6th power = 5,870,900

5.8709 x 10 to the 5th power = ​​​​587,090

Step-by-step explanation:

Hoped that helped:P

Which congruence criteria is met in the following scenario?
AAS
ASA
SAS
None, because the sides of one triangle are NOT congruent to the sides of the other triangle.
SSS

Answers

None because the triangles have different lines

Find the solution of the equation. 2(2x + 3) = -4 + 2(2x + 5) x = 0 infinitely many solutions x = -2 no solution

Answers

Answer:

Infinitely Many Solutions

Step-by-step explanation:

[tex]2(2x+3)=-4+2(2x+5)\\\\4x+6=-4+4x+10\\\\4x+6=4x+6\\\\Infinitely~Many~Solutions[/tex]

1.(03.02)
Is (x + 4) a factor of f(x) = x3 - 2x2 + 5x + 1? Use either the remainder theorem or the factor theorem to explain your reasoning.

Answers

Answer:

no

Step-by-step explanation:

By the factor theorem

If (x + h) is a factor of f(x) then f(- h) = 0

Given (x + 4) with h = - 4 , then

f(- 4) = (- 4)³ - 2(- 4)² + 5(- 4) + 1

       = - 64 - 2(16) - 20 + 1

      = - 64 - 32 - 19

      = - 115

Since f(- 4) ≠ 0 then (x + 4) is not a factor of f(x)

what is number of terms for 32y- 28​

Answers

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

bob has 20 apples, billy has 20 pears, bob gives 4 pears to his little sister, billys uncle gives him 69 bananas. What is the difference between the total fruits billy and bob have

Answers

Answer:

73

Step-by-step explanation:

Bob

20-4=16

Billy 20+69=89

89-16=73

If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight

Answers

Answer: The answer to this inequality is C.

Can somebody help me pleaseeeeee

Answers

The answer:  a° = 180° - 62° = 118°    ,     b° = 62°  ,     c° = (180° - 62°) ÷ 2 = 59°

Ok done. Thank to me :>

Angad was thinking of a number. Angad subtracts 5.1 from the number and gets an answer of 33.5. Form an equation with
x
from the information

Answers

I guess x - 5.1 = 33.5 would work

PLSS HELP MEE WILL MARK BRAINLIEST
What would be the point in between the 700 and 800?

Answers

Answer:

750

Step-by-step explanation:

if 18 plums weigh 54 ounces then 27 plums weigh x ounces

Answers

Answer:

81 ounces

Step-by-step explanation:

Divide 54 by 18 to find the weight of 1 plum then multiply this by 27.

54 ounces ÷ 18 = 3 ounces , then

27 plums = 27 × 3 = 81 ounces

Using the image below which could be the first step in order to draw a arc for the construction

Answers

Answer:

With its point on A, open the compass on point E

truncate 4087.2 to the tens

Answers

Answer:

  4080

Step-by-step explanation:

When the number is truncated to the tens place, the digits to the right of that place are made to be zero. The truncated value is ...

  4080

_____

When a number is truncated, there is no rounding.

4080 steps
Explanation:…

2. (03.03)
How does the graph of f(x) = (x + 6)4 + 2 compare to the parent function g(x) = x4? (10 points)

Answers

Answer:

The parent graph is translated 2 to the left and up 6 units.

Step-by-step explanation:

The +2 moves the  parent 2 units to the left and the + 6 moves it up 6 units.

The department of education decides to require an additional 2 tests per year of standardized test for all 10th graders. Would this equation be linear or exponential?
Group of answer choices

Exponential

Linear

Answers

It would be linear because it goes up each year by two.
If this is right may I have brainliest?
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