A system of equations and its solution are given below.

System A
2x - y = 3
3x + 4y = 10
Solution: (2, 1)

Choose the correct option that explains what steps were followed to obtain the system of equations below.

System B
2x - y = 3
11x = 22

To get 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 will be the same as the solution to system A.

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 2. The solution to system B will be the same as the solution to system A.

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 3. The solution to system B will not be the same as the solution to system A.

To get 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 will not be the same as the solution to system A.

Question

26-03-2018
Mathematics

contestada

A system of equations and its solution are given below.

System A
2x - y = 3
3x + 4y = 10
Solution: (2, 1)

Choose the correct option that explains what steps were followed to obtain the system of equations below.

System B
2x - y = 3
11x = 22

To get 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 will be the same as the solution to system A.

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 2. The solution to system B will be the same as the solution to system A.

To get system B, the second equation in system A was replaced by the sum of that equation and the first equation multiplied by 3. The solution to system B will not be the same as the solution to system A.

To get 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 will not be the same as the solution to system A.

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calculista calculista · Answer 1 · 2018-03-26T20:45:28+02:00

we have that
System A
2x - y = 3------------------> equation 1
3x + 4y = 10-------------> equation 2

multiply equation 1 by 4
4*[2x - y]=4*3---------> 8x-4y=12-------> equation 3
then

sum equation 3 and equation 2
3x+4y+8x-4y=10+12---------> 11x=22---------> x=2
2x-y=3------> y=2x-3-------> y=2*2-3-------> y=1
the solution is the point (2,1)

therefore

the answer is the option
To get 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 will be the same as the solution to system A