Question

The tables below show solutions for two linear equations. If the two equations make up a system of linear equations, in which quadrant is the solution?

http://go.flvs.net/courses/1/flvs_79_3600_cffc0c151398115/ppg/educator_math3/v8/04_pp_01_093.jpg

Answer 1

From those points you can make 2 lines with equations
y=x+10
y=-7x-59
x+10=-7x-59
8x=49
x=49/8
y = 49/8 + 10
y= 129/8
so the solution is (49/8,129/8). This is a positive x and positive y, which means it is in quadrant I