System of Equations

y=x-5
3x+y=7

Solve?

Answers

Answer 1

Answer: $\sf{y=x-5}$
$\sf{3x+y=7}$

Lets solve this by substitution.

Lets plug in y=x-5 into 3x+y=7

So:

$\sf{y=x-5}$
$\sf{3x+y=7}$

Plugging it in:

$\sf{3x+(x-5)=7}$

Solve for x by simplifying that:

$\sf{3x+x-5=7}$

$\sf{4x-5=7}$

Add 5 on both sides

$\sf{4x=12}$

Divide by 4 on both sides

$\sf{x=3}$

Now simply plug x=3 back into any equation and solve for y

So:
$\sf{y=x-5}$

$\sf{y=3-5}$

Simplify that:

$\sf{y=-2}$

So we are left with our final answer which is
$\boxed{\bf{(3,-2)}}$

Answer 2

Answer: Y=x-5
-y=3x-7
Add them together
0=4x-12
12=4x
X=3
Y=-2

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What number is 60% of 25?
At the beginning of the day the stock market points and stays at this level for most of the day. At the end of the day the stock market points from the at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
What percent of 60 is 15

A school is building a rectangular soccer field that has an area of 6000 yards. The soccer field must be 40 yards longer than it's worth. Determine algebraically the dimensions of the soccer field, in yards. Show/ explain work

Answers

Given, soccer field length is 40 m longer than width
lets consider width=w
so, length = w+40
area = length*width=6000
(w+40)*w=6000
w^2 +40*w-6000=0;
w^2+(100*w-60*w) -6000=0
(w^2 + 100*w) - (60*w+6000)=0
w(w+100)-60(w+100)=0
(w+100)(w-60)=0
w=60, because width will not be '-100'
w=60 and L=60+40=100

Round the number 347 500 to the nearest 1000, 10 000 and 100 000

Answers

The rounded form of 347500 for given cases gives 348000, 350000 and 300000.

What is rounding a number to some specific place?

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.

For this case, we've got the number 347,500

Rounding it for given cases:

Case 1: Rounding it to the nearest 1000,

Rounding to nearest thousand means rounding to the digit whose value is in thousands (from 0 to 9).

This is the fourth digit from right of the decimal.

347500 = 347500.0

The fourth digit from right is 7

Rounding to it, as it has 5 next to it, the rounded version will make 7500 -> 8000

Thus, we get:

347500 -> 348000

Similarly,

Case 2: Rounding to nearest 10000

There are 5 digits in 10000, and 5th digit from right in 347500 is 4

Right to 4, there is 7, which is ≥ 5, therefore, 47500 will become 50000

Thus, we get:

347500 -> 350000

Case 3: Rounding to the nearest 100000

6th digit from right in 347500 is 3.

Right to 3 lies 4. 4 < 5 therefore 347500 will become 300000 after rounding to the nearest 100000

The digit 5 acts as a limit.

If the right sided digit to the digit where we've to round off is < 5, we keep it same and make all right sided values 0, and if the right sided digit is > 5, then we make it increase by 1 and rest of the right sided digits become 0. If the digit on right is 5, and after it there is only zeros or no value, then we round up (increase by 1, as we did in 347500 -> 34800 ) (Well there are many detailed rules of rounding)

Thus, the rounded form of 347500 for given cases gives 348000, 350000 and 300000.

Learn more about rounding digits here:

brainly.com/question/1285054

1000- 348 000
10 000- 350 000
100 000-300 000
I think this should be your answer

What is the experimental probability of rolling a 2 or a 3?What is the experimental probability of rolling an even number?

SUPER confused... Help would be awesome!!!

Answers

Answers:

1st question: 20%, 2nd question: 64%, missing number of rolls is 7

Step-by-step explanation:

Since she rolled the die 25 times, that means she rolled the number 6 seven times.

1st question

2 - 4

3 - 1

(4+1)/25

5/25 = 1/5 = 20%

2nd question

4 - 5

6 - 7

(4+5+7)/25

16/25 = 64%

Molly buys 12 rolls of wallpaper for £111.00.
How much is 1 roll of wallpaper?

Answers

Answer: £9.25

111.00/12=9.25

Answer it would be 9.25

111 divided by 12 = 9.25 and anyone can use a cowculater to find that out

How do you answer $9 ; 10%

Answers

You can calculate percentages by first finding what 10% of a value is and then what 5 or 1% is. From there you can multiply to find multiples and then add to get the required percentage.

What is the number 4,305,012 written in expanded notation