Question

Solve each system by graphing. If the solution is not unique, identify the system as “inconsistent” or “dependent”

1. {x + 2 =6} {x - y =2}

Answer 1

therefore the solution of the system of equations is (x,y) = (4,2)

the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"

Explanation:

i) x + 2 = 6
`\Rightarrow` x = 4

ii) x - y = 2
`\Rightarrow` 4 - y = 2 , therefore y = 4 - 2 , therefore y = 2

iii) therefore the solution of the system of equations is (x,y) = (4,2)

iv) the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"