17=5k-2
add 2 to both sides
19=5k
divide both sides by 5
19/5=k
19/5=3 and 4/5
        
                    
             
        
        
        
Solve algebrically 3x - 4y = -24 and x + 4y = 8 is x = -4 and y = 3
<u>Solution:</u>
We have been given two equations which are as follows:
3x - 4y = -24   ----- eqn 1
x + 4y = 8   -------- eqn 2               
We have been asked to solve the equations which means we have to find the value of ‘x’ and ‘y’.
We rearrange eqn 2 as follows:
x + 4y = 8
x = 8 - 4y  ------eqn 3
Now we substitute eqn 3 in eqn 1 as follows:
3(8 - 4y) -4y = -24
24 - 12y - 4y = -24
-16y = -48
y = 3
Substitute "y" value in eqn 3. Therefore the value of ‘x’ becomes:
x = 8 - 4(3)
x = 8 - 12  = -4
Hence on solving both the given equations we get the value of x and y as -4 and 3 respectively.
 
        
             
        
        
        
Answer:
 
Step-by-step explanation:
Carrie has 2 meters of ribbon. She cuts off pieces of ribbon that are 5/10 meter, 1/10 meter, and 7/10 meter
Lets add all the cut of pieces and subtract it from 2 meters

Now we subtract 13/10 from 2 meters

To subtract , make the denominator same

7/10 meter is the remaining piece of ribbon
 
        
             
        
        
        
Answer:
All potential roots are 3,3 and  .
.
Step-by-step explanation:
Potential roots of the polynomial is all possible roots of f(x). 

Using rational root theorem test. We will find all the possible or potential roots of the polynomial. 
p=All the positive/negative factors of 45 
q=All the positive/negative factors of 3 


All possible roots 

Now we check each rational root and see which are possible roots for given function. 




Similarly, we will check for all value of p/q and we get 

Thus, All potential roots are 3,3 and  .
.
 
        
                    
             
        
        
        
Nope you can't live on the earth without oxygen