Two lines, a and b, are represented by the following equations:
line a: y = x − 1
line b: y = −3x + 11
which of the following options shows the solution to the system of equations and explains why?

a.) (3, 2), because the point does not lie on any axis
b.) (3, 2), because one of the lines passes through this point
c.) (3, 2), because the point lies between the two axes
d.) (3, 2), because both lines pass through this point

D.

Step-by-step explanation:

The solution is where the lines intersect which is at the point (3,2).

So the answer is Option D.

The point (3,2) satisfies both equations.

i think the answer is b)

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is