Substitution Worksheet With Answer Key - Waynesville R-Vi School District Page 32

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6-2 Substitution
The solution is (2, 5).
x = 1
2x y = 7
To graph the system, write the second equations in slope-intercept form.
x = 1
The graph appears to intersect at the point (1, 5). You can check this by substituting 1 for x and 5 for y.
The solution is (1, 5).
y = x + 5
y = x
2
y = x + 5
y = x
2
The lines have the same slope but different y-intercepts, so the lines are parallel. Since they do not intersect, there is
Page 32
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no solution of this system. The system is inconsistent.
x + y = 1

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