
Step-by-Step Solution:-
Let x and y be the price of exercise bike (e) and treadmill (t) respectively
The price of 2e and 3t is $2200:
It means,
2x+3y=\$2200
Similarly,
The price of 3 exercises and 4 treadmill is $3000:
It means,
3x+4y=\$3000
Find the x and y, using the equation:
2x+3y=\$2200\\ 3x+4y=\$3000
Now, using the Elimination Method:
Multiply, the first equation by 3 :
6x+9y=\$6600
Similarly, Multiply second equation by 2:
6x+8y=\$6000
Now, subtract first equation from second equation
6x+9y-(6x+8y)=\$6600-\$6000 \implies y=\$600
By solving we get,
y=600
Now, Putting the Value of y in one of the equation
6x+9\times\$600=\$6600\implies 6x+\$5400=\$6600 \implies 6x=\$1200
Lets , say the first Equation, we get:
6x =\$1200\implies x =\$200
So,
Cost \ of \ a \ treadmill = \$600
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