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Which is the best first step and explanation for solving this system of equations?

Which is the best first step and explanation for solving this system of equations?

(3x + y) – (x + y) = 7 – 3
Subtract equal quantities from both sides of the first equation.

(3x + y) + 3 = 7 + 3
Add the same number to both sides of the first equation.

(3x + y) + (x + y) = 7 + 3
Add equal quantities to both sides of the first equation.

(3x – x) – (y + y) = 7 – 3
Subtract the second equation from the first equation.




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1 Answer

  1. The best first step for solving the system of equations is:

    (3x + y) – (x + y) = 7 – 3

    Subtract equal quantities from both sides of the first equation.

    Explanation: This step simplifies the equation by removing the similar terms, which helps in isolating one of the variables. Once you simplify it, you can work towards solving for either variable systematically. This method ensures clarity and leads to a straightforward resolution of the equations. If you need further assistance, feel free to check the extended services page!

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