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Number the tables as follows:

1  2
3  4

Eliminate 3 and 4 immediately, because for x = 2 the y values are wrong (3 and 1).

In tables 1 and 2, the input (1) produces the correct output (-1).

So we have to determine which table agrees 100% with the system of equations given.

Comparing tables 1 and 2, row by row, we see that their contents are the same EXCEPT for the first rows.  So focus on determing which of those 2 rows displays values that satisfy both given equations.

First I looked at y=2x-5, and subst. -1 for x.  I got -7, which is correct in table 1 but not in table 2 (where the value would be -13).

Thus, table 1 correct represents the solution of the system of equations.

Answer:

the image is given below

step-by-step explanation:

since the options are not given so we draw it from the equation

the given equation is

y = (x-1) (x+4)

y = y² + 3x - 4

the above equation is a quadratic equation which will have two roots. if we draw the graph for it, it will look like this