The Bees scored 90 points
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h3>Further explanation</h3>
Simultaneous Linear Equations could be solved by using several methods such as :
- <em>Elimination Method</em>
- <em>Substitution Method</em>
- <em>Graph Method</em>
If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.
Let us tackle the problem!
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<em>Let:</em>
<em>The number of points scored by the Hornets = x</em>
<em>The number of points scored by the Bees = y</em>
<em>The number of points scored by the Wasps = z</em>
![/texttt{ }](https://tex.z-dn.net/?f=%2Ftexttt%7B%20%7D)
<em>The Bees scored 9 less than three times as many points as the Hornets.</em>
![y = 3x - 9](https://tex.z-dn.net/?f=y%20%3D%203x%20-%209)
<em>The Wasps scored 28 more points than the Hornets.</em>
![z = x + 28](https://tex.z-dn.net/?f=z%20%3D%20x%20%2B%2028)
<em>Together the three teams scored 184 points.</em>
![y + x + z = 184](https://tex.z-dn.net/?f=y%20%2B%20x%20%2B%20z%20%3D%20184)
![(3x - 9) + x + (x + 28) = 184](https://tex.z-dn.net/?f=%283x%20-%209%29%20%2B%20x%20%2B%20%28x%20%2B%2028%29%20%3D%20184)
→ <em>1. Combine like terms</em>
![5x - 9 + 28 = 184](https://tex.z-dn.net/?f=5x%20-%209%20%2B%2028%20%3D%20184)
![5x + 19 = 184](https://tex.z-dn.net/?f=5x%20%2B%2019%20%3D%20184)
→ 2<em>. Use the subtraction property of equality</em>
![5x = 165](https://tex.z-dn.net/?f=5x%20%3D%20165)
→ 3<em>. Use the division property of equality</em>
![x = 33](https://tex.z-dn.net/?f=x%20%3D%2033)
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
![y = 3x - 9](https://tex.z-dn.net/?f=y%20%3D%203x%20-%209)
→ <em>4. Use the variable to answer the question</em>
![y = 99 - 9](https://tex.z-dn.net/?f=y%20%3D%2099%20-%209)
![y = 90](https://tex.z-dn.net/?f=y%20%3D%2090)
![\texttt{ }](https://tex.z-dn.net/?f=%5Ctexttt%7B%20%7D)
<h3>Learn more</h3>
<h3>Answer details</h3>
Grade: High School
Subject: Mathematics
Chapter: Simultaneous Linear Equations
Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations