SOLUTION: what is the system of simultaneous equations by using the substitution method? x=10-y y=x-8

Question 352234: what is the system of simultaneous equations by using the substitution method?
x=10-y
y=x-8
Answer by sofiyac(983) (Show Source): You can put this solution on YOUR website!
what is the system of simultaneous equations by using the substitution method?
x=10-y
y=x-8
I think you meant to say "solve the system of equations using the substitution method".
Ok so you already have that y=x-8 in the second equation, so plug that into your first one, you get
x=10-(x-8) then distribute the minus and you get
x=10-x+8 simplify and you get
x=18-x now add x to each side of the equation and you get
2x=18 divide each side by 2 and you get
x=9 then you plug that into the second original equation y=9-8 and you get
y=1
so the solution is (9,1)
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