Which expression simplifies to –1?
A. 7 + w B. x - 2 C. 3 - y
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w + 7 x + 2 y - 3
D. 4 + z
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-4 + z
A
To find the expression that simplifies to -1, we need to substitute values for the variables in each expression and simplify.
Let's evaluate each expression one by one:
A. 7 + w / (w + 7)
Substituting -8 for w, we have:
7 + (-8) / (-8 + 7) = 7 - 8 / (-1) = 7 + 8 = 15
So, option A does not simplify to -1.
B. x - 2 / (x + 2)
Since x is not given, we cannot simplify this expression.
C. 3 - y / (y - 3)
Substituting 2 for y, we have:
3 - (2) / (2 - 3) = 3 - 2 / (-1) = 3 - (-2) = 3 + 2 = 5
So, option C does not simplify to -1.
D. 4 + z / (-4 + z)
Substituting 3 for z, we have:
4 + (3) / (-4 + 3) = 4 + 3 / (-1) = 4 - 3 = 1
So, option D does not simplify to -1.
None of the given options simplify to -1.