Approximate the solution to this system of equations. (6 points)
y = –x + 3
y = 2x + 1
...
Mathematics, 28.01.2022 19:20 Mattixwillard
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)
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