Answer:
x = 6, y = -8
Step-by-step explanation:
First we take the equations side by side and put them like this:
6x + 2y = 16
+ 2x - 2y = 32
8x = 48
Then solve for x.
x = 6
Then insert x back into either equation
2(5) - 2y = 32
10 - 2y = 32
solve for y,
y = -10
Answer:
1- 5xy³√5y
2- 2xy²∛3y²
Step-by-step explanation:
√125x²y^7=
√25*5x²y^6y
5xy³√5y
2) ∛24x³y^8=
∛2³*3x³y^8=
2xy²∛3y²
Answer:
since it is Right angled isosceles triangle it's base side are equal
by using Pythagoras law
x²+x²=1²
2x²=1
x=√{1/2}or 0.707 or 0.71
2.
![3\frac15=3.2\\ 3\frac13=3.33333...](https://tex.z-dn.net/?f=3%5Cfrac15%3D3.2%5C%5C%203%5Cfrac13%3D3.33333...)
![3.19, \ \ \ 3\frac15, \ \ \ 3.3, \ \ \ 3\frac13](https://tex.z-dn.net/?f=3.19%2C%20%5C%20%5C%20%5C%203%5Cfrac15%2C%20%5C%20%5C%20%5C%203.3%2C%20%5C%20%5C%20%5C%203%5Cfrac13)
3.
![20\%\cdot1500\$=0.2\cdot1500\$=300\$](https://tex.z-dn.net/?f=20%5C%25%5Ccdot1500%5C%24%3D0.2%5Ccdot1500%5C%24%3D300%5C%24)
4.
![\frac{600g}{3kg}=\frac{600g}{3000g}=\frac{600g}{5\cdot600g}=\frac15](https://tex.z-dn.net/?f=%5Cfrac%7B600g%7D%7B3kg%7D%3D%5Cfrac%7B600g%7D%7B3000g%7D%3D%5Cfrac%7B600g%7D%7B5%5Ccdot600g%7D%3D%5Cfrac15)
This fraction is
![\frac15](https://tex.z-dn.net/?f=%5Cfrac15)
5.
![10^3+10^2+10+1=1000+100+10+1=1111](https://tex.z-dn.net/?f=10%5E3%2B10%5E2%2B10%2B1%3D1000%2B100%2B10%2B1%3D1111)
6.
![6.7\cdot5\$=33.5\$](https://tex.z-dn.net/?f=6.7%5Ccdot5%5C%24%3D33.5%5C%24)
7.
![180-40\%\cdot180=180-0.4\cdot180=180-72=108](https://tex.z-dn.net/?f=180-40%5C%25%5Ccdot180%3D180-0.4%5Ccdot180%3D180-72%3D108)
8.
![9^2-4\cdot9=81-36=45](https://tex.z-dn.net/?f=9%5E2-4%5Ccdot9%3D81-36%3D45)
9.
from 8.45am to 12.45pm - 4 hours
![\$15\cdot4=\$60](https://tex.z-dn.net/?f=%5C%2415%5Ccdot4%3D%5C%2460)
I earn
![\$60](https://tex.z-dn.net/?f=%5C%2460)
10.
48 minutes = 1 hour - 12 min
21.15 - 1 hour = 20.15
20.15 + 12 min =
20.27
11.
![34.1^oC-27.6^oC=6.5^oC](https://tex.z-dn.net/?f=34.1%5EoC-27.6%5EoC%3D6.5%5EoC)
12.
![8\frac14 \ h= 8h \ 15min](https://tex.z-dn.net/?f=8%5Cfrac14%20%5C%20h%3D%208h%20%5C%2015min)
![10.30pm+8h = 6.30am\\ 6.30am+15min = \boxed{6.45am}](https://tex.z-dn.net/?f=10.30pm%2B8h%20%3D%206.30am%5C%5C%206.30am%2B15min%20%20%3D%20%5Cboxed%7B6.45am%7D)
I get up at 6.45am
13.
![12\cdot108=1296](https://tex.z-dn.net/?f=12%5Ccdot108%3D1296)
14.
![\overline{x}=\frac{8.2+9.4+3.5+2.9}4=\frac{24}4=6](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D%5Cfrac%7B8.2%2B9.4%2B3.5%2B2.9%7D4%3D%5Cfrac%7B24%7D4%3D6)
15.
Answer:
x = -2, y = -8
Step-by-step explanation:
13(y + 6) - 6y = 22
=> 13y + 78 - 6y = 22
=> 7y = -56
=> y = -8
x = -8 + 6
=> x = -2