Answer:
This system of equations was solved the Reduction Method:
Step 1: Multiply the equations by the appropriate numbers (The first equation was multiplied by 5 and the other one bye 7), so that one of the variables disappears by subtracting both equations.
Step 2: The equations were algebraically added and one of the variables disappeared (Resulting in 31a= 217).
Step 3: The variable "a" was cleared to know its value (a= 217/31= 7).
Step 4: The value "a" obtained is substituted in one of the previous equations.
Step 5: Multiply the 2 (coefficient of "a" in the first equation) by the value "a" obtained (2x7= 14).
Step 6: The independent term "14" is passed to the right member and his sign changes to negative (-14)
The final step is to clear variable "b" to know its value (b= -17/4= -2).
Step-by-step explanation:
Each pencil weighs 4 grams so the answer is B: 4
First use distributive property:
2(3n + 4) - 2(2n + 5)
6n + 8 - 4n - 10
Group like terms:
6n - 4n + 8 - 10
Add like terms:
2n - 2
