Solve the second equation for x. x = 2y - 8. Now sub this into the first equation to get
![3(2y-8)-6y=-12](https://tex.z-dn.net/?f=3%282y-8%29-6y%3D-12)
, and simplifying you will get 6y - 24 - 6y = -12. 6y - 6y eliminates the term, leaving us with -24 = -12, which of course is an untrue statement. This is what we refer to as an inconsistent system. These 2 lines, when solved for y give us the same slope. That is why there is no solution. A solution exists where the lines intersect. Lines with identical slopes do not intersect. What we know about the 2 lines is that they are parallel.
Answer:
Step-by-step explanation:
Density D=M/V
where Volume of earth =(4/3)pi r^3
therefore density D=M/(4/3)pi r^3
r= 3√3m/4piD
If your looking for individual ratios it would be
A: 3:8
B: 2:8 or 1:4
C: 3:8
Answer:
This spyware is detected 66% of the time.
Step-by-step explanation:
We have these following percentages:
70% of the time, the spyware arrives via the internet, and in this case, is detected 60% of the time.
30% of the time, the spyware arrives via e-mail, and in this case, is detected 80% of the time.
What percentage of times is this spyware detected
Sum of 60% of 70%(arrived via spyware, detecte) and 80% of 30%(arrive via e-mail, detected). So
![0.6*0.7 + 0.8*0.3 = 0.42 + 0.24 = 0.66](https://tex.z-dn.net/?f=0.6%2A0.7%20%2B%200.8%2A0.3%20%3D%200.42%20%2B%200.24%20%3D%200.66)
This spyware is detected 66% of the time.
Answer:
One solution.
Step-by-step explanation:
Step 1: Write equation
5(x + 2) - 3 = 3x - 8x + 7
Step 2: Solve for <em>x</em>
<u>Distribute 5:</u> 5x + 10 - 3 = 3x - 8x + 7
<u>Combine like terms:</u> 5x + 7 = -5x + 7
<u>Add 5x to both sides:</u> 10x + 7 = 7
<u>Subtract 7 on both sides:</u> 10x = 0
<u>Divide both sides by 10:</u> x = 0
Step 3: Check
<em>Plug in x to verify if it's a solution.</em>
5(0 + 2) - 3 = 3(0) - 8(0) + 7
5(2) - 3 = 7
10 - 3 = 7
7 = 7