#question regarding simultaneous equation

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lost shuttle
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Hello, I have solved for a and b but what I wanted to ask was why can't one substitute a reword of one of the equations into itself and not need to worry about the second? The answer I imagine is obvious but it's not clicking for me right now.
Take this here for example instead of making 5 = 1a + b into b = 5 - a and then substituting that into 7 = 2a + b, why can you substitute it back into the original equation?

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lost shuttle
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