Answer:
y=7x+1
Step-by-step explanation:
From the table, the difference in y is 7 and the difference in x is 1.
Let the linear equation be

Where m is the constant difference in y divided by the constant difference in x.
This means m=7/1=7
Our equation now becomes:
y=7x+b
To find b, we substitute any ordered pair from the table.
From the to table, when x=1, y=8.
This implies that,
8=7(1)+b
b=8-7=1
Therefore the equation is y=7x+1
 
        
             
        
        
        
The solution is the point of intersection between the two equations.
Assuming you have a graphing calculator or a program to lets you graph equations (I use desmos) you simply put in the equetions and note down the coordinates of the point of intersection.
In the graph the first equation is in blue and the second in red. 
The point of intersection = the solution = (-6 , -1) 
If you dont have access to a graphing calculator you could draw the graphs by hand; 
1) Draw a table of values for each equation; you do this by setting three or four values for x and calculating its image in y (you can use any values of x) 
y = 0.5 x + 2 (Im writing 0.5 instead of 1/2 because I find its easier in this format)
 x | y 
 -1 | 1.5 * y = 0.5 (-1) + 2 = 1.5
 0 | 2 * y = 0.5 (0) + 2 = 2
 1 | 2.5 * y = 0.5 (1) + 2 = 2.5
 2 | 3 * y = 0.5 (2) + 2 = 3
y = x + 5
x | y 
 -1 | 4 * y = (-1) + 5 = 4
 0 | 5 * y = (0) + 5 = 5
 1 | 6 * y = (1) + 5 = 6
 2 | 7 * y = (2) + 5 = 7
2) Plot these point on the graph
I suggest to use diffrent colored points or diffrent kinds of point markers (an x or a dot) to avoid confusion about which point belongs to which graph
3) Using a ruler draw a line connection all the dots of one graph and do the same for the other
4) The point of intersection is the solution
 
        
        
        
Soz man i use the metric system
        
                    
             
        
        
        
Option C: 6 is the value of 
Explanation:
The given expression is 
We need to determine the value of 
To find the value of  , let us substitute
, let us substitute  in the given expression.
 in the given expression.
Thus, substituting  in the expression, we have,
 in the expression, we have,

Adding the terms, we get,

Since, we know the absolute rule that  and the simplified expression is of the form
 and the simplified expression is of the form  , let us apply the absolute rule in the simplified expression.
 , let us apply the absolute rule in the simplified expression.
Thus, we have,

Thus, the value of  is 6.
 is 6.
Hence, Option C is the correct answer.