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