![-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:
f(2) =-5
Step-by-step explanation:
We want to find the value of the function when x =2
When x=2 the y value is -5
f(2) =-5
Answer:
here's a photo of the calculator to that question
Answer:
9.625 gallons will be used by the painters in 3.5 hours
Step-by-step explanation:
2.75 gallons = 1 hr
X gallons = 3.5 hrs
X = (3.5 × 2.75)/1
X = 9.625 gallons
9.625 gallons will be used by the painters in 3.5 hours
Answer:
5/6
Step-by-step explanation:
1/3 + 1/2 is a simple addition fraction problem.
You'd find the LCM (lowest common denominator) which is 6. First, we'll take 1/3 which the denominator becomes 6. You see one side has been basically multiplied by 2, so you'd do it to both sides, giving us 2/6. Next, we do the same thing with 1/2. 2 -> 6 1 -> 3. 3/6. So finally, we have 3/6 + 2/6, which is 5/6.