Answer:
(95/31, -118/31)
Step-by-step explanation:
-7x-8y=9
4x+9y=-22
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4(-7x-8y)=4(9)
7(4x+9y)=7(-22)
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-28x-32y=36
28x+63y=-154
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31y=-118
y=-118/31
-7x-8(-118/31)=9
-7x+944/31=9
-7x=9-944/31
-7x=279/31-944/31
-7x=-665/31
7x=665/31
x=(665/31)/7
x=(665/31)(1/7)
x=665/217=95/31
x=95/31, y=-118/31
Answer:
Step-by-step explanation:
Answer:
Option 3 - five to the two thirds power
Step-by-step explanation:
Given : Expression 'the square root of 5 times the cube root of 5'.
To find : Simplify the expression ?
Solution :
Writing expression in numeric form,
The cube root of 5 means ![\sqrt[3]{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B5%7D)
The square root of 5 times the cube root of 5 means ![\sqrt{5\sqrt[3]{5}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D)
Now, simplify the expression
![\sqrt{5\sqrt[3]{5}}=\sqrt{5\times (5)^{\frac{1}{3}}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%5Csqrt%7B5%5Ctimes%20%285%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%7D)
![\sqrt{5\sqrt[3]{5}}=\sqrt{(5)^{1+\frac{1}{3}}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%5Csqrt%7B%285%29%5E%7B1%2B%5Cfrac%7B1%7D%7B3%7D%7D%7D)
![\sqrt{5\sqrt[3]{5}}=\sqrt{(5)^{\frac{4}{3}}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%5Csqrt%7B%285%29%5E%7B%5Cfrac%7B4%7D%7B3%7D%7D%7D)
![\sqrt{5\sqrt[3]{5}}=((5)^{\frac{4}{3}})^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%28%285%29%5E%7B%5Cfrac%7B4%7D%7B3%7D%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
![\sqrt{5\sqrt[3]{5}}=(5)^{\frac{4}{3}\times \frac{1}{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%285%29%5E%7B%5Cfrac%7B4%7D%7B3%7D%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%7D)
![\sqrt{5\sqrt[3]{5}}=(5)^{\frac{2}{3}}](https://tex.z-dn.net/?f=%5Csqrt%7B5%5Csqrt%5B3%5D%7B5%7D%7D%3D%285%29%5E%7B%5Cfrac%7B2%7D%7B3%7D%7D)
The expression is five to the two thirds power.
Therefore, Option 3 is correct.