What is the equation of a line that has a slope of 7/9 and contains the point (0,6) ?

using point-slope equation:
y-6=7/9 (x-0)

z/20+1/12=z/15-1/10

z/20+1/12=z/15-1/10 

z/20-z/20+1/12+1/10=z/15-z/20-1/10+1/10 

5/60+6/60 = 4z/60-3z/60 

11/60 = z/60 


z=11


:)

Please help me solve this problem: 5+3[1+2(2x-3)]=6(x+5)

5+3(1+2(2x-3))=6(x+5) 


5+3+6(2x-3)=6x+30 


8+12x-18=6x+30 


12x-6x=30+18-8 


6x=40 

x=20/3 



:)

Complete the ordered pair ( , 30) so that it is a solution to the equation: 4x + 2y = 120

 

becomes 

 


 
so x=15 and (15,30) 



:)

solve 2n+12n=2(n+12)

2n+12n=2(n+12) 
14n=2n+24 
14n-2n=2n-2n+24 
12n=24 
(12n)/12=24/12 
n=2 



:)

Solve: 5(d+4) = 7(d-2)

5(d+4)=7(d-2) 

5d+20=7d-14 


5d-5d+20+14=7d-5d-14+14 


34=2d 

d=17 


:)

If you rent a car for 4 days, your bill will be $44. If you rent the same car for 10 days, your bill will be $100. Write an equation for the cost of the rental.

 

using the first situation of (4,44) 
 

 


:)

Solve: y/5+y/2=7

 

 
 
Now we multiply every term by 10 

2y+5y=70
7y=70
y=10 

:)

Solve: x/6+x/5=7/6

 

The common denominator is 30, so we rewrite everything so that they can be added. 

 





 


If we multiply both sides of the equation by 30 then simplify we get the following 

 

Finally after we divide by 11 we know the value of x 
 




:)

solve a basic linear equation

q - 4 = 5

Your Answer:

An equation is a statement that two quantities have the same value. Solving an equation is the process of determining when the equation is true. Clearly we can see that this equation is true when q=9, but in math we "solve" it by following specific rules. In this case we use the property of equality that tells us that whatever we add/subtract to/from one side of the equation is the same as what we do to the other side.


step-by-step:
q-4=5
q-4+4=5+4 <--q would be isolated if we move the 4, it is subtracted so we add a 4
q+0=9 <--- any number added with its opposite results in 0 and 0 added to q is still q
q=9

If 0.05x=20 what is x?

Solution:

 

remember: if we divide the left side of the equation by 0.05 to cancel, we also divide the right side to keep the equation balanced. 

 

Now that the 0.05 has cancelled, we long divide 20 by 0.05