a system of linear equations is given by the tables. one of the tables is represented by the equation y=-1/3x+7. The equation that represents the other equation is y= x + the solution of the system is ( , )

1). Other line is, y =

2). Solution of the system is (3, 6)

Step-by-step explanation:

From the table (1),

Let the equation of the line from the given table is,

y - y' = m(x - x')

Where m = slope of the line

(x', y') is a point lying on the line.

Choose two points from the table which lie on the line.

Let the points are (0, 5) and (3, 6)

Slope = m =

                 =

                 =

Therefore, equation of the will be,

y - 5 =

y = -------(1)

Let the other line from the table (2) is,

y - y" = m'(x - x")

Two points taken from this table are (0, 7) and (3, 6)

m' =

    =

Equation of the line will be,

y - 7 =

y = -------(2)

Therefore, equation of the other line will be, y =

By adding equations (1) and (2),

y + y =

2y = 12

y = 6

From equation (1),

6 =

x = 3

Therefore, solution of the system is (3, 6).

- (2, -7)

- lines r and s and lines t and u must be parallel