Answer:
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 (4....2.....-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.
