Please help me on my problem! show me work (if you can, I mean not trying to sound rude)

What is the solution to the system of equations? 3x + 10y = -47 5x- 7y = 40<br>Please and thank u

anastassius [24]

Answer:

x=1, y=-5

Step-by-step explanation:

Given equations are:

$3x+10y=-47\ Eqn\ 1\\and\\5x-7y=40\ Eqn\ 2$

In order to solve the equation

Multiplying Eqn 1 by 5 and eqn 2 by 3 and subtracting them

So,

Eqn 1 becomes

15x+50y=-235

Eqn 2 becomes

15x-21y=120

Subtracting 2 from a

15x+50y - (15x-21y) = -235-120

15x+50y-15x + 21y = -355

71y = -355

y = -355/71

y =-5

Putting y= -5 in eqn 1

3x+10(-5) = -47

3x -50 = -47

3x = -47+50

3x = 3

x = 3/3

x = 1

Hence the solution is:

x=1, y=-5

5 0

3 years ago

Read 2 more answers

Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x , with ini

Svetach [21]

For this case we have the following difference equation:
$dy / dx = 3xy
$
Applying separable variables we have:
$dy / y = 3xdx
$
Integrating both sides we have:
$\int\ ({1/y}) \, dy = \int\ {3x} \, dx$
$ln (y) = (3/2) x ^ 2 + C
$
applying exponential to both sides:
$exp (ln (y)) = exp ((3/2) x ^ 2 + C)

 y = C * exp ((3/2) x ^ 2)$
For y (1) = 1 we have:
$C = 1 / (exp ((3/2) * 1 ^ 2))

C = 0.2$
Thus, the particular solution is:
$y = 0.2 * exp ((3/2) x ^ 2)
$
Whose domain is all real.
Answer:
y = 0.2 * exp ((3/2) x ^ 2)
Domain: all real numbers

6 0

3 years ago

Given: Two distinct circles that are tangent to each other at a common point. How many tangent lines can be drawn that touch bot

Zanzabum

As shown in the model below, there are three lines.

8 0

3 years ago

How to solve this system of equal: x+y+z=1;x^2+y^2+z^2=1

swat32

There are infinitely many solutions.

Algebraically, we can eliminate $z$ and try to solve for $x,y$ :

$x+y+z=1\implies z=1-x-y$

Then

$x^2+y^2+(1-x-y)^2=1$

$\implies x^2+y^2+1-2x+x^2-2y+y^2+2xy=1$

$\implies x^2-x+y^2-y+xy=0$

which is the equation of an ellipse.

5 0

3 years ago

Find the area of a circle with the radius of 3. (use 3.14 for pi)

taurus [48]

------------------------------------------------------
Formula
------------------------------------------------------
Area of circle = πr²

------------------------------------------------------
Find Area of circle
------------------------------------------------------
Area of circle = 3.15 x 3²
Area of circle = 28.26 unit²

------------------------------------------------------
Answer: Area = 28.16 unit²
------------------------------------------------------

7 0

3 years ago