A system of equations and its solution are given below. System A Complete the sentences to explain what steps were followed to obtain the system of equations below. System B To get system B, the equation in system A was replaced by the sum of that equation and times the equation. The solution to system B the same as the solution to system A.

To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.

Step-by-step explanation:

A system of equations and it’s solution are given below.

System A.

x-y=3

-2x+4y=-2

Solution: (5,2)

Complete the sentences to explain what steps were followed to option the system of equations below.

System B

x-y=3

2x=10

To get to system B the (first/second) equation in system A was replaced by the sum of that equation and the (first/second) equation multiplied by (42-3) . The solution to system B (is/ is not) the same as the solution to system A.

Solution:

To get system B:

First write the first equation in system A. x - y = 3

Multiply the second equation in system A by 4 and add to the first equation in system A to get:

2x = 10

x = 10/2 = 5

Put x = 5 in x - y = 3

5 - y = 3

y = 5 - 3 =2

The solution to system B is the sam as that of system A

To get to system B the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 4. The solution to system B is the same as the solution to system A.

We know that the midpoint is the a point in the center of the line. This means that from the midpoint to the endpoint is half the length of the overall line. This means that 11 units is half the length of the line. Two halves make a whole so 2 × 11 = 22 units as the length of the entire line!
Hope this helps!