b must be equal to -6  for infinitely many solutions for system of equations  and
 and 
<u>Solution:
</u>
Need to calculate value of b so that given system of equations have an infinite number of solutions

Let us bring the equations in same form for sake of simplicity in comparison

Now we have two equations  

Let us first see what is requirement for system of equations have an infinite number of solutions
If   and
 and  are two equation
 are two equation  
 then the given system of equation has no infinitely many solutions.
 then the given system of equation has no infinitely many solutions.
In our case,

  As for infinitely many solutions 

Hence b must be equal to -6 for infinitely many solutions for system of equations  and
 and   
 
        
             
        
        
        
Answer:
no
Step-by-step explanation:
-7+x^2-3x      =       9+x-10
-7+(-2)^2-3*(-2)                   9+(-2)-10
-7+4+6                                9-12
3                   >                      -3
if we substitute -2 to x, answer is not equal
 
        
                    
             
        
        
        
Answer:
y = -2x + 5
Step-by-step explanation:
Given:
Passes through point (1, 3)
Perpendicular to x – 2y = -8
Solve:
x – 2y = -8
y = 1/2x + 4
The slope is m = 1/2
The slope of the perpendicular line is the inverse of the slope of the original equation. 
The slope of the inverse equation is m = -2.
Making an inverse equation of y = -2x + a
Find a:
Use point, (1, 3) where (x, y):
3 = (-2)*(1) + a
a = 5
y = -2x + 5
 
        
                    
             
        
        
        
8.8 because you need to multiply 1.68 by 10 which is 16.8-8=8.8
        
             
        
        
        
Answer: the cost of an adult ticket is $9.
The cost of a child's ticket is $13
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one student ticket.
On the first day of ticket sales, the school sold two adult tickets and three students tickets for a total of $57. It means that 
2x + 3y = 57- - - - - - - - - -1
The school took and $70 on the second day by selling two adult tickets and four student tickets. It means that 
2x + 4y = 70- - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- y = - 13
y = 13
Substituting y = 13 into equation 1, it becomes
2x + 3 × 13 = 57
2x + 39 = 57
2x = 57 - 39 = 18
x = 18/2
x = 9