[tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex] is equivalent to [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex].
An equivalent relation of [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex] is to determine.
What is relation?
Relation between two values is defined as the how the value associate with others.
Here,
⇒ [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex]
⇒ multiply by 7 in first equation and by -5 in second equation.
⇒ [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex]
Thus, [tex]\left \{ {{5x^2+6y^2=50} \atop {7x^+2y^2=10}} \right.[/tex] is equivalent to [tex]\left \{ {{35x^2+42y^2 = 350} \atop {-35x^2-10y^2=-50}} \right.[/tex].
Learn more about relation here:
https://brainly.com/question/15395662
#SPJ5
