x𝑥 y𝑦 00 −6−6 11 −4.5−4.5 22 −3−3 33 −1.5−1.5 x𝑥 y𝑦 00 6.16.1 11 2.12.1 22 −1.9−1.9 33 −5.9−5.9 Complete the statements about the system of linear equations represented by the tables.The equation representing the left table is.The equation representing the right table is.The solution to the system of equations is

To find the equation representing the tables, we need to determine the slope and the y-intercept. The slope can be found by taking the difference in y-values divided by the difference in x-values. The y-intercept is the y-value when x is 0.

For the left table: The slope (m) = (y2 - y1) / (x2 - x1) = (-3 - (-6)) / (2 - 0) = 1.5 The y-intercept (b) is -6 when x is 0. So, the equation representing the left table is y = 1.5x - 6.

For the right table: The slope (m) = (y2 - y1) / (x2 - x1) = (2.1 - 6.1) / (1 - 0) = -4 The y-intercept (b) is 6.1 when x is 0. So, the equation representing the right table is y = -4x + 6.1.

The solution to the system of equations is the point where the two lines intersect. To find this, we set the two equations equal to each other and solve for x:

1.5x - 6 = -4x + 6.1 5.5x = 12.1 x = 12.1 / 5.5 = 2.2

Substitute x = 2.2 into the first equation to find y: y = 1.5(2.2) - 6 = -3.7

So, the solution to the system of equations is (2.2, -3.7).