Question

the graphs of two lines are shown here. which system of equations is best represented by this graph ? A) x + y = 82x - 9y = 4B) -x + y = 6 -2x + y = -5C) 4x + y = 6 -2x + y = -5D) x - 4y = -6 -2x - y = 5

Answer 1

From the graph, it is seen that one line passes through the point (5,5).

(5,5) satisfies the equation -2x+y=-5

The another line passes through the points (1.5,0) and (0,6).

If we consider the line -x+y=6, it passes through the point (0,6), but doesn't pass through (1.5,0).

But the line 4x+y=6 passes through the points (1.5,0) and (0,6).

Hence, the equatiosn of the line sare

4x+y=6

-2x+y=-5

Hence, the correct option is (C)