Question

Math Help!



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

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

independent
inconsistent
equivalent

Answer 1

hint: multiply both sides by2 for the first equation. then move the x term to the left side. what do you get?

Answer 2

Or you can divide the second equation by 2 and move the x
2x + 2y = 8
x + y = 4
y = -x + 4

Hey, that looks awfully familiar...
You get these two equations
y = -x + 4
y = -x + 4

They are identical, so teh answer is C

Answer 3

oh, so do you divide by two for all equations

Answer 4

no.
you could either multiply by 2 on both sides of the first equaiton.
or
divide by 2 on both sides for the second equation

Answer 5

Way #1:
y = -x + 4 --> 2y = -2x + 8 --> 2x + 2y + 8
2x + 2y = 8

The two are identical

Way #2:
y = -x + 4
2x + 2y = 8 --> x + y = 4 --> y = -x + 4

The two are identical