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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

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

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Rodolfo maestro · Tutor durante 5 años
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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 .