![-3x+y=-2 \\ y-4=-6x \ \ \ |\times (-1) \\ \\ -3x+y=-2 \\ \underline{-y+4=6x} \\ -3x+y-y+4=6x-2 \\ -3x+4=6x-2 \\ -3x-6x=-2-4 \\ -9x=-6 \\ x=\frac{-6}{-9} \\ x=\frac{2}{3} \\ \\ y-4=-6 \times \frac{2}{3} \\ y-4=-4 \\ y=-4+4 \\ y=0 \\ \\ (x,y)=(\frac{2}{3},0)](https://tex.z-dn.net/?f=-3x%2By%3D-2%20%5C%5C%0Ay-4%3D-6x%20%5C%20%5C%20%5C%20%7C%5Ctimes%20%28-1%29%20%5C%5C%20%5C%5C%0A-3x%2By%3D-2%20%5C%5C%0A%5Cunderline%7B-y%2B4%3D6x%7D%20%5C%5C%0A-3x%2By-y%2B4%3D6x-2%20%5C%5C%0A-3x%2B4%3D6x-2%20%5C%5C%0A-3x-6x%3D-2-4%20%5C%5C%0A-9x%3D-6%20%5C%5C%0Ax%3D%5Cfrac%7B-6%7D%7B-9%7D%20%5C%5C%0Ax%3D%5Cfrac%7B2%7D%7B3%7D%20%5C%5C%20%5C%5C%0Ay-4%3D-6%20%5Ctimes%20%5Cfrac%7B2%7D%7B3%7D%20%5C%5C%0Ay-4%3D-4%20%5C%5C%0Ay%3D-4%2B4%20%5C%5C%0Ay%3D0%20%5C%5C%20%5C%5C%0A%28x%2Cy%29%3D%28%5Cfrac%7B2%7D%7B3%7D%2C0%29)
The system has one solution so it's
A. consistent and independent.
Answer:
The first one
Step-by-step explanation:
Step-by-step explanation:
x=−y−2z+3
x=y+32z+1
x=13y+23z+13
Answer: (x-1)^2 + (y-3)^2 = 5
Step-by-step explanation:
Answer:
Rate = 0.035 per weeks
Step-by-step explanation:
Given that,
An artist has completed 1/14 of a painting in 2 weeks.
We need to find the rate at which she is working. Let the rate is R. It can be calculated by dividing part that is completed and time.
![R=\dfrac{\dfrac{1}{14}}{2}\\\\R=0.035\ \text{per weeks}](https://tex.z-dn.net/?f=R%3D%5Cdfrac%7B%5Cdfrac%7B1%7D%7B14%7D%7D%7B2%7D%5C%5C%5C%5CR%3D0.035%5C%20%5Ctext%7Bper%20weeks%7D)
Hence, her rate is 0.035 per weeks.