y/9 +5 =0
subtract 5 from each side
y/9 = -5
multiply both sides by 9
y = -5 * 9
y = -45
A (real) square root of a number is always positive, so only (C) has no solutions.
<span>2% of 50 → 2 per cent of 50 = 0.02 × 50 = 1 → 1 book .... so Alexa Read 51 books
</span>
ANSWER
![x + y = 60](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2060)
EXPLANATION
Method 1
Vertically opposite angles are equal, therefore
![3x + 55 = 85](https://tex.z-dn.net/?f=3x%20%2B%2055%20%3D%2085)
This implies that,
![3x = 85 - 55](https://tex.z-dn.net/?f=3x%20%3D%2085%20-%2055)
We simplify to get,
![3x = 30](https://tex.z-dn.net/?f=3x%20%3D%2030)
Dividing through by 3 gives,
![x = 10](https://tex.z-dn.net/?f=x%20%3D%2010)
Also,
![2y - 5 = 95](https://tex.z-dn.net/?f=2y%20-%205%20%3D%2095)
This implies that,
![2x = 95 + 5](https://tex.z-dn.net/?f=2x%20%3D%2095%20%2B%205)
We simplify the right hand side to get,
![2x = 100](https://tex.z-dn.net/?f=2x%20%3D%20100)
We divide both sides both sides by 2 to get,
![x = 50](https://tex.z-dn.net/?f=x%20%3D%2050)
![x + y = 50 + 10](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2050%20%2B%2010)
![x + y = 60](https://tex.z-dn.net/?f=x%20%2B%20y%20%3D%2060)
Method 2
Angles on straight line sums to 180°.
![2y-5+85=180](https://tex.z-dn.net/?f=2y-5%2B85%3D180)
This implies that,
![2y+80=180](https://tex.z-dn.net/?f=2y%2B80%3D180)
![2y=180-80](https://tex.z-dn.net/?f=2y%3D180-80)
![2y=100](https://tex.z-dn.net/?f=2y%3D100)
![y=50](https://tex.z-dn.net/?f=y%3D50)
Also,
![3x+55+95=180](https://tex.z-dn.net/?f=3x%2B55%2B95%3D180)
![3x+150=180](https://tex.z-dn.net/?f=3x%2B150%3D180)
![3x=180-150](https://tex.z-dn.net/?f=3x%3D180-150)
![3x=30](https://tex.z-dn.net/?f=3x%3D30)
![x=10](https://tex.z-dn.net/?f=x%3D10)
![x+y=50+10](https://tex.z-dn.net/?f=x%2By%3D50%2B10)