Answer:
The correct option is 2.
Step-by-step explanation:
The given system of equations is
..... (1)
..... (2)
The slope intercept form of a line is
.... (3)
where, m is slope and b is y-intercept.
From (1) and (3), we get
The slope of first line is -4 and the y-intercept is 19. It means it is a decreasing line and intersect the y-axis at (0,19).
From (2) and (3), we get
The slope of first line is 2 and the y-intercept is 1. It means it is an increasing line and intersect the y-axis at (0,1).
Put y=0, to find the x-intercepts.
Therefore the x-intercept of first line is 4.75 and the x-intercept of the second line is -0.5.
Only the second graph satisfy all the above condition.
One solving the given equation we get
Divide both sides by 6.
Put this value in equation (1).
Therefore the solution of the given system of equation is (3,7).
Hence the correct option is 2.