Question

Find X and Y
X+Y=1
X-Y=1
and Y≠1

Answer 1

HI,
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A) X+Y=1 

Let's solve for x.
x+y=1
Step 1: Add -y to both sides.
x+y+−y=1+−y
x=−y+1
==========
Let's solve for y.
x+y=1
Step 1: Add -x to both sides.
x+y+−x=1+−x
y=−x+1
========
2) X-Y=1

Let's solve for x.
x−y=1
Step 1: Add y to both sides.
x−y+y=1+y
x=y+1
======
Let's solve for y.
x−y=1
Step 1: Add -x to both sides.
x−y+−x=1+−x
−y=−x+1
Step 2: Divide both sides by -1.
$\frac{-y}{-1} = \frac{-x+1}{1}$

y=x−1
========
3)Y$\neq$1



(1)+(2) Substitute Y from (2) in (1):X2+(1−X)

2=1X2+(1−X)2=1...2X(X−1)

=02X(X−1)=0
Hence X= 0 or X = 1.
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:)