Which choice is the most efficient first step to solve this set of equations?
Add the two equations together.
Subtract the second equation from the first equation.
Substitute (3x – 5) for y in the second equation.
Subtract the first equation from the second equation.
Which choice is the most efficient first step to solve this set of equations?
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To determine the most efficient first step to solve the set of equations, consider the options given.
The best choice is Substitute (3x – 5) for y in the second equation.
Explanation: If one equation expresses y in terms of x (like y = 3x – 5), substituting that expression into the other equation helps to eliminate one variable, allowing you to solve for the other variable directly. This approach usually simplifies the process rather than adding or subtracting the equations, which might not immediately simplify the variables.
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