Question

A coordinate grid with 2 lines. The first line is labeled y equals negative StartFraction 7 over 4 EndFraction x plus StartFraction 5 over 2 EndFraction and passes through the (0, 2.5) and (2.2, negative 1.4). The second line is labeled y equals StartFraction 3 over 4 EndFraction x minus 3 and passes through (0, negative 3, 0.14) and (2.2, negative 1.4) Which is the best approximate solution of the system of linear equations y = 1.5x – 1 and y = 1? (0.33, 1) (1.33, 1) (1.83, 1) (2.33, 1)

Answer 1

The best approximate solution of the system of linear equations y = 1.5x - 1 and y = 1 is (1.33, 1).

Step-by-step explanation:

To solve the system of linear equations y = 1.5x - 1 and y = 1, we can set the two equations equal to each other:

1.5x - 1 = 1

1.5x = 2

x = 2/1.5

x = 4/3

To find the corresponding y-value, substitute the x-value back into either equation:

y = 1.5(4/3) - 1

y = 6/3 - 1

y = 2 - 1

y = 1

Therefore, the best approximate solution of the system of linear equations y = 1.5x - 1 and y = 1 is (4/3, 1), which can be written as (1.33, 1) as an approximate decimal answer.