Systems of Equations: Solve each system by setting the equations equal to each other and solving.y=x
y= -x

Answers

Answer 1

Answer:
Since ' x ' and '-x ' are both equal to ' y ', they must be equal to each other.

   x = -x

Add ' x ' to each side:    2x = 0

Divide each side by 2 :    x = 0
whence   y = 0 .

That's the only possible solution to the system [ y = x and y = -x ] .

Answer 2

Answer: since x and -x both equal y they must be equal to each other:
x= -x
+x +x (add x to both sides)
2x=0
x=0
when x=0, y=0

Related Questions

Helpppppp is required
Amie published her first book. She was given $20,000 and an additional $0.15 for each copy that sold. Her earnings,d, in dollars,from the publication of the book are given d=20,009 + 0.15n where n is the number of copies sold. During the first year, Amie earned $22,100 from the publication and the sale of her book. How many copies of her book were sold?
-4x+-6y=24 how do you solve?
What is the solution to 4x+6 is less than or equal to 18?
Sasha timed how long she took to complete two laps of the track. Her first trip took 36.5s. Her second trip took 35.8s. Calculate the % decrease in the time she took to complete her second lap.

ms.Holloway is putting up a bulletin board about frogs. The bulletin board is 6 feet wide and 4 feet tall. she wants to put a border around the board. what is the distance around the edge of the bulletin board?

Answers

The distance around the bulletin board would be 20 feet, because you multiply 6ft 2x and 4ft 2x.

A MOVIE THEATER HAS 1000 SEATS . THERE ARE 424 ADULTS AND 339 CHILDREN HOW MANY SEATS ARE LEFT?

Answers

There are 237 seats left in the movie theater.

How many seats are left in the movie theater?

An expression in math is a statement having minimum of two numbers, or variables or both and an operator connecting them.

Total number of people in the movie theater:

= 424 adults + 339 children

= 763 people

Number of seats left:

= Total number of seats - Number of people

= 1000 - 763

= 237 seats.

Answers

Find the distance of each side and add the length twice and width.

Which of these pairs of numbers differ by 495 when they are squared? Choices:A.17 and 19 B:21 and 30 C.27 and 18 ,or D.23 and 32

Answers

23 and 32 are the pairs of numbers that differ by 495 when they are squared.

What is the use of squares in mathematics?

Considering that Square is a much faster way to write a number and multiply a number by itself.

Given, this problem needs to solve by the hit and trial method that means we have to solve for every option.

For option numbers A: 17 and 19

19² - 17² = 72

For option numbers B:21 and 30

30² - 21² = 459

For option numbers C:27 and 18

27² - 18² = 405

For option numbers D:23 and 32

32² - 23² = 495

Therefore, When two integers are squared, they differ by 495 in the pairings 23 and 32.

Learn more about squares here:

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The answer is B because 30^2 - 21^2 = 495

4²+5[61-(5×6)] what's the answer for this

Answers

In this question we can see that there are different type of brackets used. Also there is multiplication addition and subtraction. So we need to follow the BODMAS rule.
B = Bracket
O = Of
D = Division
M = Multiplication
A = Addition
S = Subtraction
Now let us focus on the problem in hand.
4^2 + 5[ 61 - (5 * 6)] = (4)^2 + 5[ 61 - (30)]
   = (4)^2 + 5[ 61 - 30]
   = 16 + 5 [31]
   = 16 + 155
   = 171
So the answer for the question comes out to be 171. I hope the procedure is clear enough for you to understand. You can always use this method for solving similar problems in future.

If you would like to solve 4^2 + 5 * [61 - (5 * 6)], you can calculate this using the following steps:

4^2 + 5 * [61 - (5 * 6)] = 16 + 5 * [61 - 30] = 16 + 5 * 31 = 16 + 155 = 171

The correct result would be 171.

Target sells 24 bottles of water for $3, and 36 bottles of water for $4. Which is the better buy and by how much

Answers

9 bottles of water can buy when cost of each bottle is $4. So, 36 bottles of water for $4 is better option.

Given that, Target sells 24 bottles of water for $3, and 36 bottles of water for $4.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Now, number of bottles of water = 24 ÷ 3 = 8

36 bottles of water for $4

Here, the number of bottles of water = 36 ÷ 4 =9

Therefore, 9 bottles of water can buy when cost of each bottle is $4. So, 36 bottles of water for $4 is better option.

To learn more about the unitary method visit:

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The better buy would be the 36 bottles of water for 4$ because it would be 9 bottles per dollar other than the 24 which is 8 bottles per every dollar. Hope it helps!

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