11.07.2021

X^2 - y^2 = 100 x + y = 5
The solution to the given system of equations is
(x, y). What is the value of x - y?

. 0

Step-by-step answer

09.07.2023, solved by verified expert
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20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

X^2 - y^2 = 100 x + y = 5 The solution to the, №18010290, 11.07.2021 22:04

Subtract y from both sides:

X^2 - y^2 = 100 x + y = 5 The solution to the, №18010290, 11.07.2021 22:04

Now, substitute "5-y" for "x" in the first equation:

X^2 - y^2 = 100 x + y = 5 The solution to the, №18010290, 11.07.2021 22:04

Note that:

X^2 - y^2 = 100 x + y = 5 The solution to the, №18010290, 11.07.2021 22:04

X^2 - y^2 = 100 x + y = 5 The solution to the, №18010290, 11.07.2021 22:04

Cancel out like terms:

X^2 - y^2 = 100 x + y = 5 The solution to the, №18010290, 11.07.2021 22:04

Subtract 25 from both sides:

X^2 - y^2 = 100 x + y = 5 The solution to the, №18010290, 11.07.2021 22:04

Divide both sides by -10

X^2 - y^2 = 100 x + y = 5 The solution to the, №18010290, 11.07.2021 22:04

Now, substitute this value back into either of the equations to solve for x.

X^2 - y^2 = 100 x + y = 5 The solution to the, №18010290, 11.07.2021 22:04

Add 15/2 to both sides:

X^2 - y^2 = 100 x + y = 5 The solution to the, №18010290, 11.07.2021 22:04

Now, find the difference:

X^2 - y^2 = 100 x + y = 5 The solution to the, №18010290, 11.07.2021 22:04

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Mathematics
Step-by-step answer
P Answered by Specialist

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

x+y=5

Subtract y from both sides:

x=5-y

Now, substitute "5-y" for "x" in the first equation:

(5-y)^2-y^2=100

Note that:

(a-b)^2=a^2-2ab+b^2

25-10y+y^2-y^2=100

Cancel out like terms:

25-10y=100

Subtract 25 from both sides:

-10y=75

Divide both sides by -10

y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}

Now, substitute this value back into either of the equations to solve for x.

x+y=5\\x-\frac{15}{2}=5\\

Add 15/2 to both sides:

x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}

Now, find the difference:

x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20

Mathematics
Step-by-step answer
P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

The solution is in the following image
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

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