Answer:
The correct answer is no.B
The total cost to stay one night at sleepyhead motel without breakfast = $119
The total cost to stay one night at sleepyhead motel with breakfast = $124
We have to find the difference in the cost for a one night stay with and without breakfast.
Difference = $124 - $119
= $5
Therefore, the difference in the cost for a one night stay with and without breakfast is $5.
Mike has 4 times as many stamps as Andrew
Let Mike = M and Andrew = A, eq.1 will be M = 4A
However, if Mike gives Andrew 8 stamps, then the number of stamps Mike has is now twice the number of stamps Andrew has. This will give us another equation.
eq. 2 will be M-8 = 2 (A+8)
The expression on the left tells us that Mike gave away eight stamps, while the expression on the right tells us that whatever this new number is is equal to twice the total number of Andrew's stamps after receiving eight from Mike.
Simplifying this further gives us:
M-8 = 2A + 16
M = 2A + 16 + 8 = 2A + 24
Use 2A + 24 and substitute this for M in eq. 1. This gives us:
2A + 24 = 4A
24 = 4A - 2A
24 = 2A
12 = A, and therefore M = 48 (because M=4A)
To begin with, Andrew had 12 stamps and Mike had 48 stamps.
If only M-8 = 2A is used, this will only meet the condition given in situation 1 (M=4A) but not situation 2, wherein after giving away 8 stamps, Mike's stamps is twice as many as Andrew's. You can check it. :)
Answer:
System of two linear equations can't have exactly two solutions. Reason is that when we have two straight lines,they can only intersect at one point of intersection,no more. Or let's see if lines are equivalent,then they have infinitely many solutions,because any point on line can be solution for the system.
Step-by-step explanation:
Answer:
The given system of equations has solutions below:
1) The solution is (2,3)
2) The solution is (
)
3) The solution is infinitely many solutions
4) No solution
Step-by-step explanation:
Given system of equation are
To solve equation by using elimination method
Multiply eqn (2) into 2
Now subtracting (1) and (3)
_________________
7x=14
x=
Substitute x=2 in equation (1)
-2+2y=4
2y=4+2
y=3
Therefore the solution is (2,3)
2) Given equation is
4y-4=x
Rewritting as below
To solve equation by using elimination method
multiply (2) into 2
Adding (1) and (3)
-2x+y=3
2x-8y=-8
________
-7y=-5
substitute in (1)
Therefore the solution is (
)
3) Given equation is 
equation (1) can be written as
2(3x+y)=10
3x+y=5
Therefore equations (1) and (2) are same therefore it has infinitely many solutions
4) Given equation is 
multiply equation (1) into 2
To solve equation by using elimination method
subtracting (2) and (3)
-2x-4y=28
-2x-4y=12
_______
therefore it has no solution
