The answer is: " -21 " . __________________________________________ We are asked to solve for: "6t" ; which is: "6 * t" . __________________________________________ Given: 3t − 7 = 5t ; Solve for "t" ; then solve for "6t" ;
3t − 7 = 5t ; Subtract "3t" from each side of the equation; ____________________________________________ 3t − 7 − 3t = 5t − 3t ;
to get: -7 = 2t ;
Divide EACH side of the equation by "2" ; to isolate "t" on one side of the equation; and to solve for "t" ;
-7/2 = 2t / 2 ;
-3.5 = t ; ↔ t = - 3.5 ; ____________________________________________ Now, solve for "6t" ;
6 t = 6*(-3.5) = - 21 . The answer is: " -21 " . ____________________________________________
d₂ = distance covered each day in the next 5 days From the question, Given: d₁ = 3 miles = 7/2 miles T = 5 Days d₂ = 4 miles = 17/4 miles Substitute these values into equation 1 D = [ (7/2)×5]+ [ (17/4)×5] D = 17.5+21.25 D = 38.75 miles
