Question
Solve : -3 (8+3h) = 5h+ 4
Hint:
An equation with variables on both sides of the "equal to" sign i.e. on LHS and RHS can be solved by first simplifying both the sides (Opening up the brackets, addition, subtraction, i.e. if any) and then all the variables are taken on 1 side of the equation and all the constants i.e. numbers on the other side. Both sides are then simplified further and the solution is obtained
The correct answer is: cameron should switch to the new music download service provider if he plans on listening more than 200 songs as that would be cheaper. Also, the equation to represent when the cost for any number of songs ,s, is the same for both service
Step-by-step solution:-
-3 (8 + 3h) = 5h + 4
∴ (-3 × 8) + (-3 × 3h) = 5h + 4 ..................... [Distributive property- a (m + n) = am + an]
∴ -24 - 9h = 5h + 4
∴ -9h - 5h = 4 + 24 …....................... (Taking all variables and constants on either sides of the equation)
∴ -14h = 28
∴ h = 28/-14 ............................................. (Dividing both sides by -14)
∴ h = -2
cameron should switch to the new music download service provider if he plans on listening more than 200 songs as that would be cheaper. Also, the equation to represent when the cost for any number of songs ,s, is the same for both service
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