Question

Solve the following system of equations by the substitution method. x - y = 0 x - y - 2 = 0 What is the solution set? {(1, -1)} {(-1, 1)} ∅

Answer 1

Answer: no solution is the correct answer

Explanation:

Answer 2

∅ no solution

Explanation:

Given the two equations:

x - y = 0 and x - y - 2 = 0, add '2' to both sides of the second equation:

x - y - 2 + 2 = 0 + 2 or x - y = 2

So, this is saying that 'x - y' can be equal to both 0 and 2, which isn't possible. To check your work, set one equation equal to the other variable, then substitute and solve:

x = 2 + y

2 + y - y = 0

2 ≠ 0

no solution is possible