This would be the least common multiple of 3, 4, 5, and 9. We can start by listing the multiples of the biggest number, 9, and seeing if each of the numbers can be divisible by the smaller numbers.
Let 'x' represent the number of 2 - point baskets.
Let 'y' represent the number of 3 - point baskets.
Let S represent the Season high.
1) Ryan says he did not shoot any free throws.
⇒ f = 0
2) 2 - point baskets more than twice the number of 3 - point baskets.
⇒ x > 2y
3) Number of two points is less than or equal to 8.
⇒ x ≤ 8.
4) Last Season high, he had scored 18 points. Note that the problem says, Ryan equaled or bettered than last season high. That means he should got at least 18 points this season. So, the equation would be:
With substitution, you have to already have the equation to solve for the specific variable (ex: x=y+1;y=x+1). Since the equation doesn’t give us one, we can flip the second equation to give us this.
Let’s add 2y on both sides.
x-2y=-12 +2y +2y _________ x=2y-12
Now we have the equation to solve for x!
Step 3: Substituting
Now we need to substitute x into the first equation. Let’s do this now.
-3(2y-12)+2y=16
Step 4: Solving for y
-3(2y-12)+2y=16
*distribute*
-6y+36+2y=16
*combine like terms*
-4y+36=16
*subtract 36 on both sides*
-4y=-20
*divide both numbers by -4*
y=5
This is y! Now we need to solve for x.
Step 5: Solving for x
To find x, let’s just substitute y into the equation and solve
x=2y-12
x=2(5)-12
x=10-12
x=-2
Step 6: Ordered pair
(X,y) —> (-2,5)
This is your answer! Hope this helps comment below for more questions :)
