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https://mechanics.stackexchange.com/questions/6299/ac-not-cold ...

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So. consider the number of push-ups that Blake does to be x and the number of sit-ups to be y. It takes a total of 79 seconds to do this.

So. we have our first equation which is 14x + 17 y = 79

In comparison, he needs 49 seconds to do 14 push ups and 7 sit ups

So we have our second equation which is 14 x + 7 y = 49

Now solve this by using the substitution (easy) method.

Rewrite equation 1 as 14 x = 79 - 17 y

Rewrite equation 2 as 14 x = 49 - 7y

Write them across each other and solve for y

79 - 17 y = 49 - 7y

-17 y + 7 y = 49 - 79

-10 y = - 30

y = 3 seconds

Now plug in this value of y in either of the two equations to get the value of x

Plugging in this in equation 1.

14 x + 17y = 79

14 x + 17(3) = 79

14 x +51 = 79

14 x = 28

x = 2 seconds

So, Blake take takes 3 seconds to do the first kind of excercise and 2 seconds to do the second kind of excercise