All categories

3 years ago

X+y=27 x-y=1 What is x? What is y?

Mathematics

2 answers:

Zina [86]3 years ago

8 0

Answer:

x= 14 y= 13

Step-by-step explanation:

Use substitution or elimination

Art [367]3 years ago

7 0

Answer:

Y= 13 X= 14

Step-by-step explanation:

X-Y=1 (add Y on both sides to cancel it out)

X=1+Y (now we pug in this for the next equation)

X+Y=27 is now (1+Y)+Y=27

1+Y+Y=27 (Combine like terms)

1+2Y=27 (Subtract 1 on both sides to cancel it out)

2Y=26 (Divide by 2 on both sides to cancel it out)

Y=13 (Now we plug it into the another equation)

X + Y = 27 is now X + 13 = 27

X+13=27 (subtract 13 on both sides)

X=14

ALWAYS CHECK YOUR ANSWER BY PLUGGING IT IN!!!

X-Y=1 is 14-13=1 Which is correct!!

You might be interested in

Can someone help me I’ll give u 20 points

mamaluj [8]

Answer:

#1. X=3 and #2. Y=9

Step-by-step explanation:

Glad i could help, give me a follow, so if you need help with any other question, im here.

3 0

3 years ago

Read 2 more answers

After two six-sided dice are rolled, what is the probability that the dice faces add up to either a 4 or 6?

Marizza181 [45]

Answer:

0.222

Step-by-step explanation:

out of 36 outcomes you have 8 possible outcomes for a '4' or '6':

1,5

5,1

3,3

2,4

4,2

2,2

1,3

3,1

8/36 = 2/9 = .2 repeating

6 0

2 years ago

Read 2 more answers

Kelsey makes pendants that she would like to sell at an upcoming craft fair. She must pay $200 to rent a booth at the craft fair

lubasha [3.4K]

Answer:

Additional 26 pendants are to be sold to make profit.

Step-by-step explanation:

Rent of booth at the craft fair = $200

Cost of material for each pendant = $7.80

Let Kelsey makes $x$ number of pendants.

To calculate the total spending, we have to add the rent of booth at the craft fair and cost of material for $x$ number of pendants.

Cost of material for $x$ number of pendants = Cost of material for each pendant multiplied by number of pendants

Cost of material for $x$ number of pendants = $7.80 $\times$ $x$

So, total cost = $200 + $7.80 $\times$ $x$

Now, each pendant is sold at $13.50

So, total money made by selling $x$ pendants = $13.50 $\times$ $x$

For making profit, total money made must be greater than the total cost.

Therefore, the inequality becomes:

$\bold{13.50 \times x > 200+7.80\times x }$

Let us solve the inequality now:

$13.50x - 7.80x>200\\\Rightarrow 5.7x > 200\\\Rightarrow \bold{x > 35.08}$

So, at least 36 pendants are to be sold to make a profit.

Additional 36-10 = 26 pendants are to be sold to make profit.

5 0

3 years ago

a language arts test is worth 100 points there is a total of 26 questions . there are spelling word questions that ae worth 2 po

natka813 [3]

10 question of spelling words and 16 questions of vocabulary are present

Solution:

Let "x" be the number of spelling word questions

Let "y" be the number of vocabulary word question

There is a total of 26 questions. Therefore, we get

number of spelling word questions + number of vocabulary word question = 26

x + y = 26 --------- eqn 1

There are spelling word questions that worth 2 points each and vocabulary word question worth 5 points each

The language arts test is worth 100 points

Therefore, we frame a equation as:

number of spelling word questions x 2 + number of vocabulary word question x 5 = 100

$x \times 2 + y \times 5 = 100$

2x + 5y = 100 --------- eqn 2

Let us solve eqn 1 and eqn 2

From eqn 1,

x = 26 - y ------- eqn 3

Substitute eqn 3 in eqn 2

2(26 - y) + 5y = 100

52 - 2y + 5y = 100

3y = 100 - 52

3y = 48

Substitute y = 16 in eqn 3

x = 26 - 16

Thus 10 question of spelling words and 16 questions of vocabulary are present

4 0

3 years ago

Elena has 6,492 stickers in her collection. She wants to put them into a book. She can fit 12 stickers on each page. How many pa

Talja [164]

Answer:

541

Step-by-step explanation:

6492 / 12 = 541 pages

3 0

3 years ago