What is the image, i can’t see it?
Answer:
The solution of a system of equations is the point(s) that lies on both lines. Therefore if the 2 lines cross over each other then there is exactly one solution. If they have no solution it means they are parallel since they don't share a single point and if they are overlapping lines then there is an infinite amount of solutions since they share the same points.
In this case it must have 1 solution.
To find which point is correct you should be able to plug in the same point for the x and y of the equations so that they are valid.
For example in the equation y=2x and y=-1/2x we need to find the point in which will work for both equations. In this case 0,0 is correct (0=0, 0=0)
So lets plug in the points and find the correct solution:
A. -1=-2+5
-1=-3 - this isn't true since -1 cant possibly equal -3. Therefore this point is incorrect.
B. 3=-2+5
3=3 - this is valid
______________
3=-2(-2)-1
3=4-1
3=3 - this is also valid
Therefore B is correct
(-2, 3)
Step-by-step explanation:
Answer:
paperbacks are $8.99; hardcover books are $19.99.
Step-by-step explanation:
Letting p and h represent the costs of paperback and hardcover books, respsectively, we can write two equations for the cost of a book purchase based on the problem statement.
... 5p +4h = 124.91
... 3p +2h = 66.95
If we subtract the first equation from twice the second, we can find the cost of a paperback.
... 2(3p +2h) -(5p +4h) = 2(66.95) -124.91
... p = 8.99 . . . . . simplify
Using this value in the second equation gives ...
... 3·8.99 +2h = 66.95
... 2h = 39.98 . . . . . subtract 26.97
... h = 19.99 . . . . . . . divide by 2
Paperbacks are $8.99; hardcovers, $19.99.
