Question

Portions of the graphs represented by the functions-2x+y= 2 and r+y=5 are shown in the standard(x,y) coordinate plane below. Although only a portionof each graph is shown, the domain of each function isall real numbers. If it can be determined, at what pointdo the graphs intersect?-5TF. (-1,5)G. (1.4)H. (2.5)J. (4.1)K. Cannot be determined from the given information

Answer 1

-2x + y = 2 -----------------------(1)

x + y = 5 -----------------------(2)

subtract equation (2) from equation (1)

-3x = - 3

divide both-side of the equation by -3

x= 1

substitute x = 1 into equation (2) and solve for y

1 + y = 5

subtract 1 from both-side

y = 5-1

y= 4

Hence, the point which the graph intersect is (1, 4)