8.EE.8
5. Using inspection (no arithmetic process), explain how man
equations have:
1-3x + 3y = -8
13 = -3x + 3y
D.) (4x - 8y = 6
letic process), explain how many solutions the following systems of
n
(2x – 4y = 3
neg bollo

For the first system, we have

1 - 3x + 3y = -8

or

-3x + 3y = -9

The second equation, however, tells us

-3x + 3y = 13

but -9 ≠ 13, so this system has no solution.

For the second system, notice that multiplying both sides of

4x - 8y = 6

by 1/2 gives

2x - 4y = 3

which is identical to the other equation in the system. Then all point (x, y) that lie on this line are solutions to the system, meaning there are infinitely many solutions.