Question

How many solutions does the following system of equations have?

y = x - 2
y = - x + 2

one solution
no solutions
two solutions
infinitely many solutions

Answer 1

The following system of equations has only one solution, which is (2,0), because you can use the method of substitution to find the value of x and if it has multiple solutions.

y = x - 2

y = - x + 2

x - 2 = - x + 2

2x = 4

x = 2 (substituting this back into the equation)

y = 2 - 2

y = 0