9514 1404 393
Answer:
a = 3, b = -8
Step-by-step explanation:
Solving the first equation for y, we get ...
2y +16 = 6x . . . . . given
y = 8 +3x . . . . . . . divide by 2
y = 3x -8 . . . . . . . subtract 8
In order for the system of equations to have infinitely many solutions, the second equation must be the same as this:
y = ax +b
a = 3, b = -8
Think of 180 divide by 3
it’ll give you 60
so there are 60 green apples
Answer:
There are 32 dogs and 72 animals in total.
Step-by-step explanation:
In order to find the amount of dogs, you need to set up an equation to solve for the missing variable. Let 'c' be the amount of cats and 'd' be the amount of dogs. We know that there are 40 cats, so c = 40. We also know that there are 25% more cats than dogs, so we can form an equation to express this difference: 1.25d = c, indicating that the number of cats is equal to the total number of dogs, plus an additional 25%. Since we know c = 40, we can set our second equation equal to 40: 1.25d = 40. Using inverse operations, we divide both sides by 1.25 to get d = 32. So, d + c, or 32 + 40 = 72 total animals.
