Question

WILL FAN AND MEDAL!!!
Given the following system of equations, identify the type of system.

y = -x + 4
2x + 2y = 8

independent
inconsistent
equivalent

Answer 1

What do you think?

Answer 2

Inconsistent?

Answer 3

multiply the first equation by 2 then add 2x to both sides
what do you get?

Answer 4

Equivalent?

Answer 5

If one (or more) of the equations can be expressed as a linear combination of the others.

This is equivalent to the statements

the matrix of coefficients does not have an inverse (or is singular),
or
the determinant of the matrix of coefficients is zero.

Answer 6

So it's equivalent???

Answer 7

@Tennis5518 ^

Answer 8

No

Answer 9

Wait

Answer 10

y = -x + 4 * 2 gives

2y = -2x + 8

Answer 11

now add 2x to both sides and compare it with the second equation

Answer 12

x=−y+4 @welshfella

Answer 13

So it's...independent???
I'm still lost

Answer 14

I finally got a hold of my teacher and we figured out the answer is equivalent :)