Answer:
12
Step-by-step explanation:
51 ÷ 3 = 17
204 ÷ 17 = 12
hope this helps
Answer:
![b = -2a + 5](https://tex.z-dn.net/?f=b%20%3D%20%20-2a%20%2B%205)
Step-by-step explanation:
4a + 2b = 10
-4a - 4a
_____________
2b = -4a + 10
__ ________
2 2
b = -2a + 5 >> CORRECT ANSWER
I am joyous to assist you anytime.
Answer:
50% increase.....
original=50.
new=100.
different between original and new(price increased) =50
then,
in percentage
![\frac{50}{100} \times 100\%](https://tex.z-dn.net/?f=%20%5Cfrac%7B50%7D%7B100%7D%20%20%5Ctimes%20100%5C%25)
=50%
6x+25=16-3x
+3x. +3x
9x + 25= 16
-25. -25
9x=-9
x=-1
Answer: The required solution is (x, y) = (5, -2).
Step-by-step explanation: We are given to solve the following system of equations :
![2x+5y=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x-4y=23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)](https://tex.z-dn.net/?f=2x%2B5y%3D0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28i%29%5C%5C%5C%5C3x-4y%3D23~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28ii%29)
From equation (i), we have
![2x+5y=0\\\\\Rightarrow 2x=-5y\\\\\Rightarrow x=-\dfrac{5}{2}y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)](https://tex.z-dn.net/?f=2x%2B5y%3D0%5C%5C%5C%5C%5CRightarrow%202x%3D-5y%5C%5C%5C%5C%5CRightarrow%20x%3D-%5Cdfrac%7B5%7D%7B2%7Dy~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%28iii%29)
Substituting the value of x from equation (iii) in equation (ii), we get
![3\times\left(-\dfrac{5}{2}y\right)-4y=23\\\\\\\Rightarrow -15y-8y=46\\\\\Rightarrow -23y=46\\\\\Rightarrow y=-\dfrac{46}{23}\\\\\Rightarrow y=-2.](https://tex.z-dn.net/?f=3%5Ctimes%5Cleft%28-%5Cdfrac%7B5%7D%7B2%7Dy%5Cright%29-4y%3D23%5C%5C%5C%5C%5C%5C%5CRightarrow%20-15y-8y%3D46%5C%5C%5C%5C%5CRightarrow%20-23y%3D46%5C%5C%5C%5C%5CRightarrow%20y%3D-%5Cdfrac%7B46%7D%7B23%7D%5C%5C%5C%5C%5CRightarrow%20y%3D-2.)
From equation (iii), we get
![x=-\dfrac{5}{2}\times(-2)=5.](https://tex.z-dn.net/?f=x%3D-%5Cdfrac%7B5%7D%7B2%7D%5Ctimes%28-2%29%3D5.)
Thus, the required solution is (x, y) = (5, -2).