A system of equations and its solution are given below.System A2x - y = 33x + 4y = 10Solution: (2, 1)Choose the correct option that explains what steps were followed to obtain the system of equations below.System B2x - y = 311x = 22To 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
Answer:
we have thatSystem 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
solved
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5 months ago
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