Answer:
The system of the equations has no solution; the two lines are parallel.
Step-by-step explanation:
The equations have the same slope. In standard form, this can be seen as the same coefficients for x and y. We will multiply the second equation by -12 to reveal this.
![\frac{1}{4} x-\frac{1}{3}y=1 \\-12(\frac{1}{4} x-\frac{1}{3}y=1)\\\frac{-12}{4} x-\frac{-12}{3}y=-12\\-3x+4y=-12](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20x-%5Cfrac%7B1%7D%7B3%7Dy%3D1%20%5C%5C-12%28%5Cfrac%7B1%7D%7B4%7D%20x-%5Cfrac%7B1%7D%7B3%7Dy%3D1%29%5C%5C%5Cfrac%7B-12%7D%7B4%7D%20x-%5Cfrac%7B-12%7D%7B3%7Dy%3D-12%5C%5C-3x%2B4y%3D-12)
This means the equations are parallel and will never cross. There is no solution.
Step-by-step explanation:
Marcel will take 35 days, xion will take 44 days (43.75), Francesca will take 32 days, and amber will take 44 days (43.75)
0.25= 25/100
25/100 = 5/20= 1/4
4/16 = 1/4
It is equivalent
<span>Hope I helped! (Pick me as brainliest!)</span>
Answer:
B = 1320
![A= \dfrac54B](https://tex.z-dn.net/?f=A%3D%20%5Cdfrac54B)
Step-by-step explanation:
Let A = number of students at Branch A
Let B = number of students at Branch B
If the number of students taking classes at Branch A is 1/4 more than Branch B, then:
![A=1 \dfrac14B](https://tex.z-dn.net/?f=A%3D1%20%5Cdfrac14B)
![\implies A= \dfrac54B](https://tex.z-dn.net/?f=%5Cimplies%20A%3D%20%5Cdfrac54B)
If Branch A has 1,650 students, then substitute A = 1650 and solve for B:
![\implies 1650= \dfrac54B](https://tex.z-dn.net/?f=%5Cimplies%201650%3D%20%5Cdfrac54B)
![\implies 1650 \times 4= 5B](https://tex.z-dn.net/?f=%5Cimplies%201650%20%5Ctimes%204%3D%205B)
![\implies 6600 =5B](https://tex.z-dn.net/?f=%5Cimplies%206600%20%3D5B)
![\implies B=\dfrac{6600}{5}](https://tex.z-dn.net/?f=%5Cimplies%20B%3D%5Cdfrac%7B6600%7D%7B5%7D)
![\implies B=1320](https://tex.z-dn.net/?f=%5Cimplies%20B%3D1320)