Answer: 12 days
Step-by-step explanation:
For us to know the number of days whereby Julie will have both basketball and track practice, we've to find the lowest common multiple of both 6 and 4. This will be:
Multiples of 4 = 4, 8, 12, 16, 24.
Multiples of 6 = 6, 12, 18, 24, 30.
The lowest common multiple is 12. Therefore, she'll have basketball and track practice in 12 days
Example: Set up proportions.
3/4 cups → 1 batch
x cups → 2 batches
x = 2(3/4) = 6/4 = 1 1/2 cups
3/4 cups → 1 batch
y cups → 9 batches
y = 9(3/4) = 6 3/4 cups
Answer:
[1] x - 6y = 3
[2] x + 2y = 5
Graphic Representation of the Equations :
-6y + x = 3 2y + x = 5
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -2y + 5
// Plug this in for variable x in equation [1]
[1] (-2y+5) - 6y = 3
[1] - 8y = -2
// Solve equation [1] for the variable y
[1] 8y = 2
[1] y = 1/4
// By now we know this much :
x = -2y+5
y = 1/4
// Use the y value to solve for x
x = -2(1/4)+5 = 9/2
Solution :
{x,y} = {9/2,1/4}
The slope is 2/3 and the y intercept if you need it is -3
