Asystem of equations is shown below: 5x - 5y = 10 3x - 2y = 2 part a. create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. show the steps to do this. part b. show that the equivalent system has the same solution as the original system of equations.

5x - 5y = 10

3x - 2y = 2

a.create an equivalent system of equations by replacing one equation with the sum of that equation and a multiple of the other. show the steps to do this. part

Multiply this equation 5x - 5y = 10  by 2 and multiply this equation 3x - 2y = 2 by -5

10x - 10y = 20

-15x + 10y = -10

add

-5x = 10

b.show that the equivalent system has the same solution as the original system of equations.

-5x = 10

 x = -2

Plug in x = -2 into any of those equations above

5(-2)  - 5y = 10

- 10 - 5y = 10

-5y = 20

   y = - 4

Answer

x = -2  and y = -4

more detail

step-by-step explanation:

the answer would be d.

step-by-step explanation:

move all variables to the left side and all constants to the right side

(x−3)^2+(y−1)^2=16

this is the form of a circle. use this form to determine the center and radius of the circle.

( x − h ) 2 + ( y − k ) 2 = r 2

match the values in this circle to those of the standard form. the variable   r   represents the radius of the circle,   h   represents the x-offset from the origin, and   k   represents the y-offset from origin.

r = 4

h = 3

k = 1

the center of the circle is found at   ( h , k ) .

center:   ( 3 , 1 )

these values represent the important values for graphing and analyzing a circle.

center:   ( 3 , 1 ).

radius:   4