Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
Alright, let's solve this problem! :)
<u>First we need to subtract 5k from both sides.</u>
3k−5k>12
<u>Then we simplify 3k - 5k to -2k.</u>
-2k > 12
<u>Now we divide both sides by -2.</u>
k < -12/2
<u>Now we simplify 12/2 to 6. </u>
k < -6
✔️Done!
Have an amazing day!
Answer:
This number line show the inequality x > 2
