Two systems of equations are shown below: system a system b 6x y = 2 2x − 3y = −10 −x − y = −3 −x − y = −3 which of the following statements is correct about the two systems of equations?
a. the value of x for system b will be 4 less than the value of x for system a because the coefficient of x in the first equation of system b is 4 less than the coefficient of x in the first equation of system
a.
b. they will have the same solution because the first equations of both the systems have the same graph.
c. they will have the same solution because the first equation of system b is obtained by adding the first equation of system a to 4 times the second 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 −4 to the first equation of system a and the second equations are identical.

option (C) is correct.

They will have the same solution because the first equation of system B is obtained by adding the first equation of system A to 4 times the second equation of system  A.

Step-by-step explanation:

Given two system of  equations

System A :  6x + y = 2  , -x -y = -3

System B :  2x - 3y = -10  , -x -y = -3

We have to choose out of given statements that is true about the the two systems of equations.

Consider system A:

6x + y = 2   ......(1)

-x -y = -3      ....(2)

Multiply equation (2) by 4, we get,

-4x -4y = -12  ......(3)

Now adding, (1) and (3) , we have,

6x + y +(-4x - 4y) = 2 - 12

Solving, we get,

6x + y -4x - 4y = 2 - 12

2x - 3y = - 10   which is equation (1) of system B.

We now find the solution to the system A.

adding equation  (2) and (1) ,we have,

6x + y +( -x -y) = 2 -3

6x + y - x -y = 2 -3

5x = -1

Put value of x in (2) , we get,

We now find the solution to the system B.

System B :  2x - 3y = -10  ........(4)

-x -y = -3 .....(5)

Multiply equation (5) by 3 , we have

-3x -3y = -9 .......(6)

Subtract equation  (6) from (4) ,we have,

2x - 3y-(-3x - 3y) = -10 +9

5x = -1

Put value of x in (5) , we get,

Thus, both system A and B have same value.

Thus, option (C) is correct.

They will have the same solution because the first equation of system B is obtained by adding the first equation of system A to 4 times the second equation of system  A.

c

step-by-step explanation:

it isn't d, because the interquartile range is from 27-57. and the interquartile range is basically half the data, it's pretty obvious.

it isn't b, because like i said earlier, the interquartile range is from 27-57. 57-27 is 30. the real range has to be longer

not a either. although it looks like it, 3/4 of the data is not greater than 27. but if c is wrong than this should be correct

the correct answer is c, because 13 is the point in which the plot starts

a. turk and mcalister

b. howard, mission, and market

c. yes. since streets end some do not cross yet are not parallel to others. example: mcalister and 5th

step-by-step explanation:

parallel lines are lines which do not intersect ever and look a lot like railroad tracks. turk, mcalister and golden gate are examples of these.

intersect are streets which cross each other and a car on one can reach the other. howard, mission, and market intersect with 6th.

skew lines are lines which neither intersect nor are parallel. these lines exist here because some streets end and never intersect another like mcalister and 5th.