![2x+y=5 \\ x-2y=10 \\ \\ y=5-2x \\ x-2(5-2x)=10 \\ x-10+4x=10 \\ 5x-10=10 \\ \boxed{5x=0} \Leftarrow \hbox{the mistake, it should be 5x=20} \\ x=0 \\ \\ 2(0)+y=5 \\ y=5](https://tex.z-dn.net/?f=2x%2By%3D5%20%5C%5C%0Ax-2y%3D10%20%5C%5C%20%5C%5C%0Ay%3D5-2x%20%5C%5C%0Ax-2%285-2x%29%3D10%20%5C%5C%0Ax-10%2B4x%3D10%20%5C%5C%0A5x-10%3D10%20%5C%5C%0A%5Cboxed%7B5x%3D0%7D%20%5CLeftarrow%20%5Chbox%7Bthe%20mistake%2C%20it%20should%20be%205x%3D20%7D%20%5C%5C%0Ax%3D0%20%5C%5C%20%5C%5C%0A2%280%29%2By%3D5%20%5C%5C%0Ay%3D5)
If 2x+y=5, then y=5-2x, so he substituted 5-2x correctly.
x+4x=5x, so he combined like terms correctly.
If 5x-10=10, then 5x=10+10 -> 5x=20, so he subtracted 10 from the right side instead of adding 10 to the right side.
The answer is C.
Here's the correct solution:
The length of the diameter is:
16 metres
Answer:
The probability that event B does not occur is 1 - 1/3 = 2/3. Since we want the probability that A occurs AND that B does not occur, we multiply their respective probabilities. Thus, the probability that event A occurs but event B does not occur is 1/2 x 2/3 = 1/3.
Step-by-step explanation:
Answer: 45% of 62 would be 27.9
Step-by-step explanation:
So the way I always figure these out is state the facts first. So we know 62 is equal to 100% in the equation. That means if we divided 62 by 10 then we would also divide 100% by 10%.
62 (divided by) 10 = 6.2
100% (divided by) 10% = 10%
Now we know what 10% percent of 62 is. We need to find 45%. Well divide 6.2 by 2 to get 5 % of 62. (That would be 3.1). Now that we know 10% of 62 and 5% of 62 we are all set.
6.2 x 4 = 24.8
24.8 = 40%
3.1 + 24.8 = 27.9
27.9 = 45% of 62
Answer:
0.55 or 11/20
Step-by-step explanation: