Question a-syst

1.4 Systems of Two Linear Equations - Graphical solution of two lines
0:00

A system of two linear equations is graphed in the xy-plane below.

The figure presents the graph of 2 lines in the x y plane. The numbers negative 4 through 16, in increments of 2, are indied on the x axis. The numbers negative 4 through 20, in increments of 2, are indied on the y axis. One line begins above the x axis and to the left of the y axis. It moves upward and to the right, crossing the y axis at 6, and passing through the point with coordinates 3 comma 9 and the point with coordinates 12 comma 18. The other line begins below the x axis and to the left of the y axis. It moves upward and to the right, crossing the y axis at 3, and passing through the point with coordinates 3 comma 9 and the point with coordinates 6 comma 15. The two lines intersect at the point with coordinates 3 comma 9.

Which of the following points is the solution to the system of equations?

A.

the point with coordinates 3 comma 9

B.

the point with coordinates 6 comma 15

C.

the point with coordinates 8 comma 10

D.

the point with coordinates 12 comma 18