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Mathematics
Tanner Morrow
8 January, 06:36
Y=x^2-6x+9
x+y=5
Substitution
+5
Answers (
1
)
Alisson Olsen
8 January, 08:53
0
{1, 4}
Step-by-step explanation:
Solve the second equation for y in terms of x: x + y = 5 = > y = 5 - x
Substituting this expression for y into the first equation, we obtain:
5 - x = x^2 - 6x + 9
Subtracting 5 from both sides yields
-x = x^2 - 6x + 4
Then, adding x to both sides yields
0 = x^2 - 5x + 4, which factors as follows:
0 = (x - 4) (x - 1)
Setting each factor equal to 0 separately and solving for x in each case results in the solutions {1, 4}
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