Question #0dfc8

1 Answer
Dec 13, 2016

(0,2)

Explanation:

Normally I wouldn't make a grammatical comment, but it seems important here. The equations are lines that intersect; there is only one solution. The solution is the point where the two lines intersect.

Two equations, two variables. Use Gauss-Jordan Elimination
-4 -1 -2
8 -2 -4

(Row_1) * -1 => Row_1
4 1 2
8 2 -4

(Row_1) / 4 => Row_1
1 1/4 1/2
8 -2 -4

(Row_1) * 8 - (Row_2) => (Row_2)
1 1/4 1/2
0 4 8

( Row_2) / 4 => Row_2
1 1/4 1/2
0 1 2

y = 2
Substitute in to either equation to find that x = 0.

NOTE: This application could really use some matrix formatting.