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
Unlock the full answer

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

It is was helpful?

Faq

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

The solution is in the following image

The solution is in the following image
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

The answer is in the image 

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

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

Try asking the Studen AI a question.

It will provide an instant answer!

FREE