To determine which equation from the given system could be used in the Substitution Method, we typically want to choose an equation that can be easily rearranged to express one variable in terms of the other variable.
Let's examine each option:
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\( x = 7 + 4y \): This equation expresses \( x \) in terms of \( y \), making it suitable for substitution.
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\( x = 9 + 3y \): Similar to the first one, this equation expresses \( x \) in terms of \( y \) and can also be used for substitution.
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\( y = 7 - 4x \): This equation expresses \( y \) in terms of \( x \), which can also be used for substitution.
All three equations could potentially be used in the Substitution Method, but the first two options are directly expressing \( x \) in terms of \( y\), and the third option expresses \( y \) in terms of \( x\).
In summary, any of the given equations could be used in the substitution method, but if asked to choose one, any of the first two options \( (x = 7 + 4y \) or \( x = 9 + 3y) \) could be considered simpler for substitution since they express \( x \) directly in terms of \( y\).
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