A
1) Let's solve this system graphically, by plotting each line.
I) y + 2x = -1 Let's rewrite it as the slope-intercept form
y = -2x -1
Writing a t -table for that:
x | y=-2x-1
0 | -1
1 | -3
2 | -5
II) 3y -x = 4 Let's rewrite it as the slope-intercept form
3y = 4 +x Divide both sides by 3
y = 4/3 + x/3
Writing a table for that:
x | y = 4/3 +x3
0 | 1.33
1 | 1.66
2 | 2
2) As we have three coordinate points for each equation, we can locate them in the Coordinate Plane:
Notice that, the common point to those lines (the red one: 3y-x =4) and (blue: y+2x=-1)
3) Hence, the answer is A
