Answer: 
Given System of equation:
x-y =6                                  .....,[1]
2x-3z = 16                           ......[2]  
2y+z = 4                              .......[3]
Rewrite the equation [1] as
y = x - 6                                .......[4]
Substitute the value of [4] in [3], we get

Using distributive property on LHS ( i.e,   )
 )
then, we have
2x - 12 +z =4
Add 12 to both sides of an equation:
2x-12+z+12=4+12
Simplify:
2x +z = 16                         .......[5]
On substituting equation [2] in [5] we get;
2x+z=2x -3z
or
z = -3z
Add 3z both sides of an equation:
z+3z = -3z+3z
4z = 0
Simplify:
z = 0 
Substitute the value of z = 0 in [2] to solve for x;

or
2x = 16
Divide by 2 both sides of an equation:

Simplify:
x= 8
Substitute the value of x =8 in equation [4] to solve for y;
y = 8-6 = 2
or
y = 2
Therefore, the solution for the given system of equation is;  x = 8 , y = 2 and z =0
 
        
             
        
        
        
Answer: picture wont seem to load, maybe try again
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:

Step-by-step explanation:

Given x = 2 and y = -3. Therefore, substitute x = 2 and y = -3 in the expression. 

Multiplying the negative with negative equal positive. All negative numbers in the absolute will become positive.

Therefore the answer is 29.
 
        
                    
             
        
        
        
Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5
The given function is:
f(x)  =  ax  -  5
If f(4)  =  15, then x = 4
Substitute x = 4 into f(x) = ax - 5
f(4)  =  a(4)  -  5
15   =  4a   -  5
Solve for a by adding 5 to both sides
15  +  5  =  4a  -  5  +  5
20    =  4a
Divide both sides by 4
4a/4   =  20/4
a    =  5
Given that f(x) = ax – 5 and f(4) = 15, then the value of a is 5
Learn more on linear functions here: brainly.com/question/15602982
 
        
             
        
        
        
Answer:
10 whole boards
Step-by-step explanation:
1. 36 divided by 3.75 = 9.6
2. Round to the nearest whole number
3. 9.6 rounded = 10