A 2 column table with 5 rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, negative 6, negative 4.5, negative 3, negative 1.5. A 2 column table with 5 rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, 6.1, 2.1, negative 1.9, negative 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

.

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Step-by-step explanation:

In each table, the first entry tells you the y-intercept of the equation.

Since the x-values increase by 1, the difference of the first two y-values is the slope of the line.

  Table 1 slope = -4.5 -(-6) = 1.5

  Table 2 slope = 2.1 -6.1 = -4

The equations are then ...

  Table 1: y = 1.5x -6

  Table 2: y = -4x +6.1

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We can find the solution by equating expressions for y:

  1.5x -6 = -4x +6.1

  5.5x = 12.1

  x = 12.1/5.5 = 2.2

  y = -4x +6.1 = -4(2.2) +6.1 = -8.8 +6.1 = -2.7

The solution is (x, y) = (2.2, -2.7).

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step-by-step explanation: