The graph shows two lines, a and b. a coordinate plane is shown. two lines are graphed. line a has the equation y equals x minus 1. line b has equation y equals negative 3 x plus 7. based on the graph, which statement is correct about the solution to the system of equations for lines a and b? (1, 2) is the solution to both lines a and b. (−1, 0) is the solution to line a but not to line b. (3, −2) is the solution to line a but not to line b. (2, 1) is the solution to both lines a and b.

The correct statement is:

         (2, 1) is the solution to both lines A and B.

Line A--

Line B--

a)

(1, 2) is the solution to both lines A and B.

when x=1 we have for:

Line A--

             y=1-1=0≠2

         Hence, option a) is incorrect.

b)

(−1, 0) is the solution to line A but not to line B.

when x=-1

we have for Line A--

                       y= -1-1= -2≠0

                 Hence, option: b) is incorrect.

c)

(3, −2) is the solution to line A but not to line B.

when x=3 we have:

for Line A--

                 y=3-1=2≠ -2

                   Hence, Option: c) is incorrect.

d)

(2, 1) is the solution to both lines A and B.

    when x=2 we have:

For Line A--

                     y=2-1=1

For Line B--

                   y= -3×2+7

                  y= -6+7=1

Hence, (2,1) is solution to both line A and Line B.

                Hence, Option: D is correct.

b

step-by-step explanation: