Answer:
Step-by-step explanation:
The system of equations given are: 
  
  5x - y + z = -6   ------------- i 
  2x + 7y + 3z = 8  ---------- ii 
   x + 2z = 6 ----------------- iii
Let us deal with equation i and ii first since they have 3 variables x, y and z; 
       5x - y + z = -6                 x 7
        2x + 7y + 3z = 8            x 1
     35x  - 7y + 7z  = -42   ----  iv 
       2x  + 7y + 3z  = 8       ---- v 
Add equation iv and v; 
     37x + 10z  = -34 ------vi
 So, let us solve equation vi and iii: 
                x + 2z = 6 - ---------- iii   x 10 
                37x + 10z  = -34  --- iv  x 2
     10x + 20z   = 60         vi
      74x + 20z  = -68        vii
Subtract vi  - vii; 
       -64x  = 128 
            x  = -2
So;    put x  = -2 into iii; 
            x + 2z  = 6 
            -2 + 2z  = 6 
             2z  = 6 + 2  = 8 
             z  = 4 
Put x  = -2 and z = 4 into equation i;
   5(-2) - y + 4  =  - 6 
    -10 -y  +4  = -6 
        -6  - y  = -6 
              -y  = 0
               y  = 0
 
        
             
        
        
        
Answer:
-14x+6
Step-by-step explanation:
-3(4x-2)-2x
-12x+6-2x
-12x-2x+6
-14x+6
 
        
             
        
        
        
Right triangle, Pythagorean Theorem:
c² = a² + b²
a=8, b=9
c² = 8² + 9²  = 64 + 81 = 145
c = √145 inches
That's the exact answer but they want us to ruin it with an approximation.
c ≈ 12.041594578792296 inches
Answer: 12
 
        
             
        
        
        
3x + 6
distribute the 3 to both of the places in the parentheses. 
        
             
        
        
        
Answer:
y = -  x + 2
 x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 3 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
 = -
 = -  = -
 = -  , hence
, hence
y = -  x + c ← is the partial equation of the perpendicular line
 x + c ← is the partial equation of the perpendicular line
To find c substitute (3, 1) into the partial equation
1 = - 1 + c ⇒ c = 1 + 1 = 2
y = -  x + 2 ← equation of perpendicular line
 x + 2 ← equation of perpendicular line