Approximate the solution to this system of equations. (6 points)
y = –x + 3
y = 2x + 1
The first step is to identify y-values for different values of x. The table shows y-values for the two functions between x = -1 and x = 2.
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

How do you know that the solution is between the two rows in the table corresponding to x=0.5 and x=1? (1 point)




Complete the table to show the values of x between 0.5 and 1. (2 points)


x
y = –x + 3
y = 2x + 1
0.5
2.5
2
0.6




0.7




0.8




0.9




1
2
3

Which two x-values will the solution be between? (1 point)



Identify a reasonable approximation for the solution of this system. (2 points)