Answer:
.2121/1000
42
Step-by-step explanation:
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
Answer: 79
Step-by-step explanation:
Line up the numbers from least to greatest. 39, 42, 44, 51, 55, 62, 66, 72, 77, 81, 94, 86 Then find the Median. Look at the upper part of the data set and from there find the 3rd quartile.
Answer:
y=-1.5x-4
Step-by-step explanation:
Slope intercept form is y=mx+b
Bring x over to the other side
2y=-8-3x
divide by 2
y=-4-1.5x
y=-1.5x-4 should be your equation in slope-intercept form