Question

Solve the system. then classify the system as consistent and independent, consistent and dependent or inconsistent.
2x+y=9
x+y=4
please work it out :)

Answer 1

2x+y=9 --------1
x+y=4 ---------2

subtract 2nd equation from 1st equation

2x+y=9
-x-y=-4
----------
x=5

now plug x value into one of the equations

5+y=4
y=4-5
y=-1

so,x=5 and y=-1

consistent and independent