2 Answers

Aanrv · Answer 1 · 2022-11-07T15:48:15+0000

Answer: 2 and -13

Explanation:

Assign and set two equations:

$\left \{ {{x+y=-11} \atop {x*y=-26}} \right.\\$

Find the value of one variable by rearranging the equation:

$x+y=-11\\\\y=-x-11$

Substitute that y-value into the other equation & solve for x:

$x*y=-26\\\\x*(-x-11)=-26\\\\-x^(2) -11x=-26\\\\x^(2) +11x-26=0\\\\(x+13)(x-2)=0\\\\\left \{ {{x_(1)=-13 } \atop {x_(2) =2}} \right.$

Substitute in the x-values to the rearranged equation to find y:

$y=-x-11\\\\\left \{ {{y=-x_(1) -11=-(-13)-11=13-11=2} \atop {y=-x_(2)-11=-2-11=-13 }} \right.$

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