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Brittany uses the rowing machine and the stair machine at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:

After 5 minutes of stretching, Brittany will exercise for 30 minutes, dividing her time between the two types of machines.
Brittany will spend three times as much time on the stair machine as on the rowing machine.
Write an equation.

Respuesta :

Answer:

The equations are: [tex]x+ y = 30[/tex]  and  [tex]x = 3y[/tex].

Step-by-step explanation:

We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.

Let the time spend by Brittany on the stair machine be represented by the variable [tex]x[/tex].

and the time spend by Brittany on the rowing machine be represented by the variable [tex]y[/tex].

Now, there are two conditions stated by her trainer;

  • The first condition states that Brittany will exercise for 30 minutes, dividing her time between the two types of machines, that is;

                           [tex]x + y = 30 \text{ minutes}[/tex]

  • The second condition states that Brittany will spend three times as much time on the stair machine as on the rowing machine, that is;

                                [tex]x = 3y[/tex]

So, the equations are: [tex]x+ y = 30[/tex]  and  [tex]x = 3y[/tex].

These equations can be solved either using the substitution method or the elimination method.

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