Substitution and elimination, and matrix methods such as the Gauss-Jordan method and Cramer's rule. Use each method at least once when solving the sys

preprekomW

preprekomW

Answered question

2021-06-12

Substitution and elimination, and matrix methods such as the Gauss-Jordan method and Cramer's rule. Use each method at least once when solving the systems below. include solutions with nonreal complex number components. For systems with infinitely many solutions, write the solution set using an arbitrary variable.
y=x2+6x+9
x+y=3

Answer & Explanation

Daphne Broadhurst

Daphne Broadhurst

Skilled2021-06-13Added 109 answers

y=x2+6x+9 (1)
x+y=3
Substitute eq 2 ... eq 1.
3x=x2+6x+9
On simplification 3xx26x9=0
x2+7x+6=0
Factor (x+1)(x+6)=0
Applying zero factor properly x+1=0 or x+6=0
x=1 or x=6
putting value of x in eq 2.
y=3(1),y=4 or y=3(6),y=9
Solution set ={(1,4)(6,9)}

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