DUE IN 2 DAYS! 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.

Question

Henry Rogers

Mathematics

23 January, 11:33

DUE IN 2 DAYS! 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.

+5

Answers (1)

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Brisa · Answer 1

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:

The first equation of system B is the same as the first equation of system A, so nothing was done to it. The second equation has x as a surviving variable, so the variable y was eliminated from the second equation. That can be done by adding something to the second equation that includes - 4y on the left side of the equal sign.

That "something" can be the product of 4 and the first equation, since the first equation has - y on the left side of the equal sign.

Indeed, adding 4 times the first equation to the second equation of system A will result in the equations of system B. Since we have not violated any properties of equality in peforming that addition, the solution to system B is the same as the solution to system A.