Find y

Find y:

Expand Hint
Use basic algebra to solve to solve for unknowns.
Hint 2
Use substitution to first solve for $$x$$ .
Looking at the three equations, the variable $$x$$ appears every time, meaning we should describe both the $$y$$ and $$z$$ variables in terms of $$x$$ . Analyzing the second equation:
$$$x+z=0\rightarrow z=-x$$$
Analyzing the third equation:
$$$x-y=-5\rightarrow y=x+5$$$
Substituting the new equations into the original first equation:
$$$x+(x+5)+(-x)=2$$$
Solving for $$x$$ :
$$$x=2-5=-3$$$
Since we now only have one unknown variable, we can solve for $$y$$ using the third equation:
$$$y=-3+5=2$$$
2
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