Pl i need it

i'll give you brainlist : (

1. create an equivalent system of equations using the sum of the system and the first equation.

−5x + 4y = 8

4x + y = 2

a. −5x + 4y = 8

9x + 5y = 10

b.−5x + 4y = 8

−x + 5y = 10

c. −5x + 4y = 8

9x + 5y = 2

d.−5x + 4y = 8

−x + y = 10

2. find an equivalent system of equations for the following system:

x + 2y = 2

−4x + 4y = −8

a. x + 2y = 2

−4x − 2y = 10

b. x + 2y = 2

5x + 4y = 8

c. x + 2y = 2

5x − 2y = 10

d. x + 2y = 2

5x − 2y = −8

3.

choose a system of equations with the same solution as the following system:

6x + 2y = −6

3x − 4y = −18

a.8x + 4y = −4

17x + 2y = −28

b.12x + 4y = 12

21x + 2y = −36

c.6x + 8y = −36

15x + 6y = −60

d.6x + y = 15

15x − y = −9

4.a system of equations is shown:

5x + 2y = 3 (equation 1)

2x − 3y = 1 (equation 2)

4.a student wants to prove that if equation 2 is kept unchanged and equation 1 is replaced with the sum of equation 1 and a multiple of equation 2, the solution to the new system of equations is the same as the solution to the original system of equations. if equation 2 is multiplied by 1, which of the following steps should the student use for the proof?

a. show that the solution to the system of equations 7x − y = 4 and 2x − 3y = 1 is the same as the solution to the given system of equations.

b. show that the solution to the system of equations 2x + 5y = 3 and 3x − 2y = 1 is the same as the solution to the given system of equations.

c. show that the solution to the system of equations 9x + 4y = 5 and 7x − y = 4 is the same as the solution to the given system of equations.

d. show that the solution to the system of equations −4x + 9y = 5 and 2x − 3y = 1 is the same as the solution to the given system of equations.

5.given the following system of equations:

−4x + 8y = 16

2x + 4y = 32

what action was completed to create this new equivalent system of equations?

−2x + 4y = 8

2x + 4y = 32

a. divide the second equation, 2x + 4y = 32, by 2.

b. divide the first equation, −4x + 8y = 16, by 2.

c. multiply the second equation, 2x + 4y = 32, by −1.

d. multiply the first equation, −4x + 8y = 16, by −1.

6.explain how system 1 becomes equivalent to system 2.

system 1:

lx + my = n

ax + by = c

system 2:

(l − a)x + (m − b)y = n − c

lx + my = n

a. the first equation in system 2 is the sum of the equations in system 1. the second equation in system 2 is the first equation in system 1.

b. the first equation in system 1 is the difference of the equations in system 2. the second equation in system 1 is the first equation in system 2.

c. the first equation in system 2 is the difference of the equations in system 1. the second equation in system 2 is the first equation in system 1.

d. the first equation in system 1 is the sum of the equations in system 2. the second equation in system 1 is the first equation in system 2.

7.

choose an equivalent system of equations to the following system:

fx + gy = h

qx + ry = s

a.5fx + 5gy = 5h

qx − ry = s

b.5fx + gy = 5h

qx + 5ry = s

c.5fx + 5gy = 5h

qx + ry = s

d. fx + 5gy = 5h

qx + ry = s

8. given the following system of equations:

3x + 5y = 30

x + 3y = 10

which action creates an equivalent system that will eliminate one variable when they are combined?

a. multiply the second equation by −1 to get −x − 3y = −10.

b. multiply the second equation by −3 to get −3x − 9y = −30.

c. multiply the first equation by −1 to get −3x − 5y = −30.

d. multiply the first equation by −3 to get −9x − 15y = −90.

9. two systems of equations are shown:

system a system b

2x + y = 5 −10x + 19y = −1

−4x + 6y = −2 −4x + 6y = −2

which of the following statements is correct about the two systems of equations?

a. they will have the same solutions because the first equation of system b is obtained by adding the first equation of system a to 2 times the second equation of system a.

b. they will have the same solution because the first equation of system b is obtained by adding the first equation of system a to 3 times the second equation of system a.

c. the value of x for system b will be −5 times the value of x for system a because the coefficient of x in the first equation of system b is −5 times the coefficient of x in the first equation of system a.

d. the value of x for system a will be equal to the value of y for system b because the first equation of system b is obtained by adding −12 to the first equation of system a and the second equations are identical.