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Question 957392: Y=5x+3 how do I reverse so It equals Y I CAN DO THE FIRST HALF of the prolem but I don't know how to make it look like =Y SO THE Y is on the end
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if a = b, then b = a
equations are inter-changeable.
the equal sign means the expression on the left is equal to the expression on the right.
this also means that the expression on the right is equal to the expression on the left.
whether you put the expression on the left on the left or the right is immaterial.
how do you mathematically change y = 5x + 3 to 5x + 3 = y?
you can simply state that they're equivalent.
to shows it is so through mathematical operations, you would do the following:
start with:
y = 5x + 3
subtract 3 from both sides of the equation to get y - 3 = 5x + 3 - 3
combine like terms to get y - 3 = 5x
subtract 5x from both sides of the equation to get y - 3 - 5x = 5x - 5x
combine like terms to get y - 3 - 5x = 0
subtract y from both sides of the equation to get y - 3 - 5x - y = -y
combine like terms to get -3 - 5x = y
multiply both sides of the equation by -1 to get 3 + 5x = y
rearrange the terms on the left side of the equation to get 5x + 3 = y
those operations provide the mathematical validation that y = 5x + 3 is the same as s a5x + 3 = y.
what enables those operations is:
adding the same thing to both sides of an equality preserves the equality.
subtracting the same thing from both sides of an equality preserves the equality.
multiplying both sides of an equality by the same thing preserves the equality.
dividing both sides of an equality by the same thing preserves the equality.
not sure if this is what you are talking about but that's my answer based on what i think you're talking about.
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