Question

Given the following system of equations, identify the type of system.

x + y = 6
y = 3 - x


consistent
inconsistent
equivalent

how do i figure these ones out ?? @AkashdeepDeb

Answer 1

There is also this cool fact about lines
The normal equation of 2 simple lines
A1x + B1y + C1 = 0
A2x + B2y + C2 = 0

If
A1/A2 Is not equal to B1/B2
Then the equations are consistent

If A1/A2 = B1/B2 is not equal to C1/C2
Lines are parallel and are INCONSISTENT

If A1/A2 = B1/B2 = C1/C2
Lines are equivalent!! :D

So try rewriting the equations in the simple forms of; Ax + By + C = 0
And then see what it can be!! :D

Understood this? :)

Answer 2

@dirtydan667 ?

Answer 3

um im trying to understand

Answer 4

So in your question
We have x+y = 6 and y = 3-x
Or we have
x+y = 6 and x+y = 3

These lines are parallel/Inconsistent because

A1 = 1, A2 = 1, B1 = 1, B2 = 1, C1 = -6 , C2 = -3
So A1/A2 = B1/B2 is not equal to C1/C2
That is why!! :D

Answer 5

you can go on to other questions im still trying to figure this out it also might take a while so yeh

Answer 6

Okay. :)
Good! :D