Given:
The system of equations is
![3x-2y=7](https://tex.z-dn.net/?f=3x-2y%3D7)
![6x-4y=14](https://tex.z-dn.net/?f=6x-4y%3D14)
To find:
The correct statement for the given system of equations.
Solution:
On comparing the given equations and general form of linear equation, i.e.,
, we get
![a_1=3,b_1=-2,c_1=-7](https://tex.z-dn.net/?f=a_1%3D3%2Cb_1%3D-2%2Cc_1%3D-7)
![a_2=6,b_2=-4,c_2=-14](https://tex.z-dn.net/?f=a_2%3D6%2Cb_2%3D-4%2Cc_2%3D-14)
Here,
![\dfrac{a_1}{a_2}=\dfrac{3}{6}=\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba_1%7D%7Ba_2%7D%3D%5Cdfrac%7B3%7D%7B6%7D%3D%5Cdfrac%7B1%7D%7B2%7D)
![\dfrac{b_1}{b_2}=\dfrac{-2}{-4}=\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bb_1%7D%7Bb_2%7D%3D%5Cdfrac%7B-2%7D%7B-4%7D%3D%5Cdfrac%7B1%7D%7B2%7D)
![\dfrac{c_1}{c_2}=\dfrac{-7}{-14}=\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Cdfrac%7Bc_1%7D%7Bc_2%7D%3D%5Cdfrac%7B-7%7D%7B-14%7D%3D%5Cdfrac%7B1%7D%7B2%7D)
Since,
, therefore, the two equations are equivalent and the system has infinitely many solutions.
Hence, the correct option is b.
The answer would be p= -2
To check it:
-2(5(-2) - 3) = 26
-2(-10-3) = 26
-2(-13) = 26
26 = 26
Answer:
239 Feet
Step-by-step explanation:
Small, because 1 divided by 8 = 0.125, and 3 divided by 4 = .75 Hope this helps!
Step-by-step explanation:
2.3×10⁵< 8.5×10⁵< 5.5×10⁷< 3.6×10⁸< 8.1×10⁸< 7.2×10⁹.
hope this helps you.