Answer:
2
Step-by-step explanation:
The slope of the line represented by the table is ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -8)/(3 -(-1)) = -12/4 = -3
The y-intercept of that line is ...
b = y -mx
b = 8 -(-3)(1) = 5
Then the slope-intercept equation of the line represented by the table is ...
y = mx +b
y = -3x +5
Substituting that into the equation for the given line, we have ...
2x +4(-3x+5) = 0
2x -12x +20 = 0
20 = 10x . . . . . . . . add 10x and simplify
2 = x . . . . . . . . . . divide by 2
The x-value of the solution to the system of equations is x = 2.
