Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.

x + 10y = 41
x + 9y = 37

1 answer

x + 10y = 41 ... (1)
x + 9y = 37 ... (2)
For substitution, rewrite as
x = 41-10y ...(1a)
and substitute x in (2) to get
(41-10y) + 9y = 37
Simplify and solve for y.
Substitute y back in (1a) to find x.

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