MATH SOLVE

4 months ago

Q:
# 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)} Ø

Accepted Solution

A:

Answer:The answer is ∅ ⇒ no solutionStep-by-step explanation:* Lets revise how to solve the system of equation by using substitution method- At first find a variable in terms of the other one from the first equation- Then substitute this value in the second equation- So you can solve the equation because it has one variable- After that put the value of the variable in the substitution equation to find the second variable* Now lets solve our problem∵ x - y = 0 ⇒ (1)∵ x - y - 2 = 0 ⇒ (2)- Find x in terms of y from 1st equation∴ x = y- Substitute this value in the second equation∴ y - y - 2 = 0∴ 0 - 2 = 0 ⇒ -2 = 0* But -2 ≠ 0, that means L.H.S ≠ R.H.S ∴ There is no solution for this system of equations∴ The answer is ∅