Answer:
Step-by-step explanation:
x-5/2=-6
2(x-5)=-6x2
2x-10=-12
2x=-12+10
2x=-2
X=-1
 
        
             
        
        
        
Answer:
Total cost of membership will be the same for both gyms after 5 months.
Step-by-step explanation:
Given: Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. 
Tami's Toning does not charge an application fee, but charges $14 per month for membership.
To find: After how many months will the total cost of membership be the same for both gyms
Solution:
Let  denotes number of months after which total cost of membership will be the same for both gyms
 denotes number of months after which total cost of membership will be the same for both gyms
For Suzy's Sculpting gym,
Total charges 
For Tami's Toning,
Total charges 
Now solve 

So, total cost of membership will be the same for both gyms after 5 months.
 
        
             
        
        
        
Answer:
The two numbers are .8*160=128 and .85*240=204 
Step-by-step explanation:
First sentence:                 x+y=400
Second sentence           .8x+.85y=400-68
Solve y in the first sentence:  y=400-x
Plug first into second:     .8x+.85(400-x)=332
Distribute:                        .8x+.85(400)-.85x=332
Combine like terms:        -.05x+.85(400)=332
Simplify(multiply):              -.05x+      340=332
Subtract 340 on both sides:    -.05x       =332-340
Simplify(subtract):                     -.05x        =-8
Divide both sides by -.05:              x        =-8/-.05
Simplify (division):                           x        = 160
So y=400-x=400-160=240