Mathematics: Agym charges a one-time registration fee as well as a monthly fee. the cost of joining the gym for 4 months is $370, and the cost of joining for 6 months is$530. write and solve a system of equations to find the registration fee and monthly fee.

Agym charges a one-time registration fee as well

Ответ:

dozsyerra

30.12.2021

$x-\ registration\ fee\\
y-\ monthly\ fee\\\\
 \left \{ {{x+4y=370} \atop {x+6y=530\ \ |*(-1)}} \right. \\\\
 \left \{ {{x+4y=370} \atop {-x-6y=-530}} \right. \\+-----\\Addition\\\\
-2y=-160\ \ | divide\ by\ -2\\
y=80\\\\
x=370-4y=370-4*80=370-320=50\\\\
Registration\ fee\ is\ equal\ to\ 50\$\ and\ monthly\ fee\ is\ equal\ to\ 80\$.
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