Nevin made tables of values to approximate the solution to a system of equations. first he found that the x-value of the solution was between one and two, and then he found that it was between one and 1.5 next, he made his table.

The correct option is B.

Step-by-step explanation:

The given equation are

On solving both the equation, we get

Put this value in the given equation.

The solution of the given system of equation is

The best approximation of the exact solution is (1.3,2.3). Therefore the correct option is B.

B. (1.3, 2.3)

Step-by-step explanation:

To find approximate solution of the system of equations, we need to equivate the two given equations and solve for x and y.

y = 4x - 3 and y = -5x + 9

4x - 3 = -5x + 9

Isolating the variables and constants, we get

4x + 5x = 9 + 3

9x = 12

Dividing both sides by 9, we get

x = 12 ÷ 9

x =

x = 1.3

Now plug in x =   in the equation y = 4x - 3 to find the value of y.

y = 4( )  - 3

y = - 3

y =  

y =  

y = 2.3

So, x = 1.3 and y = 2.3 is the approximate solution.

Therefore, answer is B. (1.3, 2.3)