Problemas
7x-3y=4 2x-4y=1 Which of the following systems is not the same as solving the system shown? 28x-12y=16 and -6x+12y=-3 -28x+12y=-16 and 28x-56y=14 14x-6y=4 and -14x+28y=1
Roztwór
Rodolfo
maestro · Tutor durante 5 años
4.5
(172 Votos)
Respuesta
To determine which system of equations is not equivalent to the given system, we need to compare each option with the original system.The given system is:
Let's analyze each option:Option 1:
and
If we multiply the first equation of the given system by 4, we get
, which matches the first equation in Option 1. However, the second equation in Option 1 does not match the second equation in the given system when multiplied by -3. Therefore, Option is not equivalent to the given system.Option 2:
and
If we multiply the first equation of the given system by -4, we get
, which matches the first equation in Option 2. However, the second equation in Option 2 does not match the second equation in the given system when multiplied by 14. Therefore, Option 2 is not equivalent to the given system.Option 3:
and
If we multiply the first equation of the given system by 2, we get
, which matches the first equation in Option 3. If we multiply the second equation of the given system by -7, we get
, which matches the second equation in Option 3. Therefore, Option 3 is equivalent to the given system.Based on our analysis, the system that is not equivalent to the given system is Option 1:
and
.