How do you solve x + y = 5 and 2x + Y = 8?
1 Answer
Jan 8, 2016
Explanation:
This could be solved with either elimination or substitution. I'll use elimination, since the category is "Linear Systems with Multiplication."
Multiply the first equation by
#-1(x+y=5)rarr-x-y=-5#
We now have the two equations:
#{(-x-y=-5),(2x+y=8):}#
Add the two equations together.
#-x+2x-y+y=-5+8#
Simplify. Notice that the
#x=3#
Now, substitute
#3+y=5#
#y=2#
This leaves us with