Approximate the solution to the system of equations.

y=-x+3 and y=2x+1

a. How do you know what the solution is between the two rows in the table corresponding to x=0.5 and x=1

Table:

x y=-x+3 y=2x+1

-1 4 - 1

-0.5 3.5 0

0 3 1

0.5 2.5 2

1 2 3

1.5 1.5 4

2 1 5

b Complete the table to show the values of x between 0.5 and 1. I already did this

x y = - x+3 y=2x+1

0.5 2.5 2

0.6 2.4 2.2

0.7 2.3 2.4

0.8 2.2 2.6

0.9 2.1 2.8

1 2 3

c. Which tow x values will the solution be between?>

d. Identify a reasonable approximation for the solution of this system

Question

Landen Mathews

Mathematics

5 December, 06:21

Approximate the solution to the system of equations.

y=-x+3 and y=2x+1

a. How do you know what the solution is between the two rows in the table corresponding to x=0.5 and x=1

Table:

x y=-x+3 y=2x+1

-1 4 - 1

-0.5 3.5 0

0 3 1

0.5 2.5 2

1 2 3

1.5 1.5 4

2 1 5

b Complete the table to show the values of x between 0.5 and 1. I already did this

x y = - x+3 y=2x+1

0.5 2.5 2

0.6 2.4 2.2

0.7 2.3 2.4

0.8 2.2 2.6

0.9 2.1 2.8

1 2 3

c. Which tow x values will the solution be between?>

d. Identify a reasonable approximation for the solution of this system

+4

Answers (1)

Know the Answer?

Abdiel Pruitt · Answer 1

a) at x=0.5 y=2 and at x=1 y=2 this similarity in values shows that the solution for x is between 0.5 and 1

c) The x solution will be between x=0.0 and x=0.7.

There is a similarity in values of y at x=0.6, y=2.4 and at x=0.7, y=2.4

d) For x = (0.6+0.7) / 2 = 1.3/2 = 0.65

For y = (2.4+2.3) / 2 = 4.7/2=2.35

Approximate solution is (0.65, 2.35)