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jok3333 [9.3K]
3 years ago
11

What is the solution to this system of linear equations? x + y = 4 x − y = 6

Mathematics
1 answer:
Stells [14]3 years ago
5 0

Answer:

x=5 , y= -1

Step-by-step explanation:

You can see that one of the y's is negative while the other is positive, so you can add them together.

Now, negative 1 + positive 1 = 0, so the y's cancel out leaving only the x's.

Remember you can't add one part without adding the other so x+x = 2x, and 4+6=10. This makes the final equation 2x=10.

You can simplify that into x=5. This gives you the answer for x

Then substitute x=5 into any of the two equations (doesn't matter) I'll use the first one. So if you substitute it you get 5+y=4.

Simplified, y= -1

Therefore, x= 5 and y=-1

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After eating dinner at a restaurant, Alex's bill before tax is $78.00. The sales tax rate is 8%. Alex decides to leave a 20% tip
iragen [17]

Answer:

<h2>$99.84</h2>

Step-by-step explanation:

Step one:

given data

we are told that before tax the bill is pretax= $78

the tax is 8%

and he left 20% of the pretax for the attendant.

Step two:

let us find the amount he paid for eating with tax

=8/100*78

=0.08*78

=$6.24

with tax the meal cost  is

= 78+6.24

=$84.24

let us solve for the tip he left  (note: it is 20% of the pretax)

=20/100*78

=0.2*100

=$15.6

the tip is $15.6

Step three:

<u>the total amount he paid after eating plus tax and tip is </u>

78+6.24+15.6

=$99.84

8 0
3 years ago
Read 2 more answers
If you put $10 in a savings account at the beginning of each month for 15 years, how much money will be in the account at the en
Vika [28.1K]
After 10 years, there will have been 120 deposits. The last one earns 12%/12 = 1% interest, so is mutipied by 1.01. The one before is multiplied by 1.01². Overall, you have the sum of a geometric series of 120 terms with first term 10.10 and common ratio 1.01. That sum is given by the general formula
  Sn = a1·(r^n -1)/(r -1)
  S120 = 10.10(1.01^120 -1)/(1.01 -1)
  S120 = 1010·2.30038689 ≈ 2323

At the end of the 10th year (before the first deposit of the 11th year), the account balance will be
  $2,323
6 0
4 years ago
The dimensions of a standard tennis court are 36 ft. × 78 ft. with a net that is 3 ft. high in the center. The court is modified
Tema [17]

Answer:

Modified court is not similar to the standard court

Step-by-step explanation:

Given that :

Dimension of standard tennis court:

36ft by 78ft

Net height = 3 ft

Dimension of Modified Court :

27ft by 60ft

Net height = 3ft

To examine similarity :

We obtain the dilation factor for width and length :

(Standard court length / modified court length)

= 36 ft / 27 ft

= 4 / 3

Width :

Standard court width / modified court width)

= 78 ft / 60 ft

= 13 / 10

Since the dilation factor for the width and length are different, then we can conclude that the standard and modified court are not similar

7 0
3 years ago
11/8 * 1/9 pls help​
IrinaVladis [17]

Answer:

11/72

Step-by-step explanation:

\frac{11 \times 1}{8 \times 9}  =  \frac{11}{72}

3 0
3 years ago
3^x+1=sqrt3 <br><img src="https://tex.z-dn.net/?f=%20%7B3%20%7D%5E%7Bx%20%2B%201%7D%20%3D%20%20%5Csqrt%7B3%7D%20" id="TexFormula
ivanzaharov [21]

Answer:

√3= \sqrt[2]{3}=3^{\frac{1}{2} }

x+1=1/2

x=1/2-2/2=\frac{-1}{2}

Step-by-step explanation:

Hope it helps!

5 0
3 years ago
Read 2 more answers
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