Solution set is: (
)
Option B is correct
Step-by-step explanation:
We need to find the solution to system of equations
![y=\frac{1}{3}x+2\\y=\frac{4}{3}x-5](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx%2B2%5C%5Cy%3D%5Cfrac%7B4%7D%7B3%7Dx-5)
Let:
![y=\frac{1}{3}x+2\,\,\,eq(1)\\y=\frac{4}{3}x-5\,\,\,eq(2)](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx%2B2%5C%2C%5C%2C%5C%2Ceq%281%29%5C%5Cy%3D%5Cfrac%7B4%7D%7B3%7Dx-5%5C%2C%5C%2C%5C%2Ceq%282%29)
Putting value of y from eq(2) into eq(1)
![\frac{4}{3}x-5=\frac{1}{3}x+2\\Combining\,\,like\,\,terms:\\\frac{4}{3}x-\frac{1}{3}x=2+5\\Taking\,\,LCM\\\frac{4x-1x}{3}=7\\\frac{3x}{3}=7\\x=7](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7Dx-5%3D%5Cfrac%7B1%7D%7B3%7Dx%2B2%5C%5CCombining%5C%2C%5C%2Clike%5C%2C%5C%2Cterms%3A%5C%5C%5Cfrac%7B4%7D%7B3%7Dx-%5Cfrac%7B1%7D%7B3%7Dx%3D2%2B5%5C%5CTaking%5C%2C%5C%2CLCM%5C%5C%5Cfrac%7B4x-1x%7D%7B3%7D%3D7%5C%5C%5Cfrac%7B3x%7D%7B3%7D%3D7%5C%5Cx%3D7)
So, value of x=7
Putting value of x into equation 1 to find the value of y:
![y=\frac{1}{3}x+2\\y=\frac{1}{3}(7)+2\\y=\frac{7}{3}+2\\Taking\,\,LCM\\y=\frac{7+2*3}{3}\\y=\frac{7+6}{3}\\y=\frac{13}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B3%7Dx%2B2%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7D%287%29%2B2%5C%5Cy%3D%5Cfrac%7B7%7D%7B3%7D%2B2%5C%5CTaking%5C%2C%5C%2CLCM%5C%5Cy%3D%5Cfrac%7B7%2B2%2A3%7D%7B3%7D%5C%5Cy%3D%5Cfrac%7B7%2B6%7D%7B3%7D%5C%5Cy%3D%5Cfrac%7B13%7D%7B3%7D)
So, value of y = ![\frac{13}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B3%7D)
Solution set is: (
)
Option B is correct
Keywords: System of equations
Learn more about system of equations at:
#learnwithBrainly
Find if all the ratios are proportional to 1:8. 2:16 is, so is 3:24, and 4:32. 4.5*8=36, and 5:40 is proportional. 6:48 is, and 6.5*8=52. The table is proportional, just divide the pay by the hours and you should be getting 8.
The answer would be the third one, p<319, because the auditorium can seat AT LEAST (<) 320 people, but it would be preferable to contain 319.
48.195*3
idk if u wanted any numbers that work but ya hope that helped :)
D: k= 36 it is that one because it’s a big number