The given equation is ⇒⇒⇒ 2y - 4x = 6
∴ 2y = 4x + 6   ⇒ divide all the equation over 2
∴ y = 2x + 3  and it can be written as ⇒⇒⇒ y - 2x = 3
The last equation represents a straight line with a slope = 2 and y-intercept = 3
To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.
so, the general solution of the other equation is ⇒ a ( y - 2x ) = 3a
Where a is constant and belongs to R ( All real numbers )
The system of equations which has definitely many solutions is consisting of <u>Coincident lines.</u>
 
        
             
        
        
        
Answer:
a=48 units^2
Step-by-step explanation:
The area of a rectangle can be found using: 
a=bh
We know the base is 6, and the height is 8, so we can substitute them in 
a=6*8
a=48 
Area uses units squared, so, 
a=48 units^2
 
        
                    
             
        
        
        
Answer:
A. 51°
Step-by-step explanation:
By the theorem of intersecting secants. 
 
 
 
 
 
 
 
 
 
 
 
 
 
        
             
        
        
        
Answer:
6
Step-by-step explanation:
When dividing by a fraction flip it over and multiply
2 / (1/3) = 2 * 3/1
2 / (1/3) = 6/1
2 / (1/3) = 6