20 points! alicia made tables of values to approximate the solution to a system of equations. first she found the x-values of the solution was between 0 and 1 and then she found that it was between 0 and 0.5. next, she made this table.

C. (0.4, 2.9)

Explanation:

One way is to solve the simultaneous equations algebraically.

(1)  y = -3x +4

(2) y = 5x+1             Subtract Equation (1) from Equation (2)  

    0 = 8x - 3           Add 3 to each side

    3 = 8x                Divide each side by 8

    x = 3/8              Convert to a decimal

    x = 0.375          Substitute x into Equation (2)

    y = 5(3/8) + 1     Remove parentheses

    y = 15/8 + 1        Combine terms

    y = 23/8            Convert to a decimal

    y = 2.875

The exact solution is (0.375, 2.875).

The approximate solution is (0.4, 2.9).

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Alicia could also plot the two graphs and note their point of intersection.

Her approximate solution is the green point at (0.4, 2.9).

00

step-by-step explanation:

b

2

−

b

b

3

+

7

b

2

+

14

b

+

6

%

−

3

b

3

+

7

b

2

+

14

b

+

6

%

step-by-step explanation: