This is a simultaneous equation
Rearrange the second to give
x - y = 1
Add the two equations
(x + y) + (x - y) = 5 + 1
2x = 6
x=3
Substitute 3 into either equation
3 - 1 = y
y = 2
Answer:
Check the explanation
Step-by-step explanation:
1. FALSE. If X and Y are 2 solutions to the equation AX = b, then A(X+Y) = AX +AY = b+b = 2b ≠ b as b ≠ 0. This implies that X+Y is not a solution to the equation AX = b. Hence the set of solutions to the equation AX = b is not closed under vector addition.
2. FALSE. If X is a solution to the equation AX = b and if k is an arbitrary scalar other than 1, then A(kX) = kAX = kb≠ b. This implies that kX is not a solution to the equation AX = b. Hence the set of solutions to the equation AX = b is not closed under scalar multiplication.
3. FALSE, unless b = 0. A.0 = 0 . Since b ≠ 0, the set of solutions to the equation AX = b does not contain the 0 vector.
4. FALSE. In view of 1,2,3 above, the set of solutions to the equation AX = b is not a subspace since b ≠ 0.
To round to the nearst thousands, you check the digit after the one in the thousands position (this means you check the digit in the hundreds position), if this digit is equal to or greater that 5 then you will add 1 to the thousands and all other digits will be zeroes, otherwise, you won't add anything and only change other digits to zeroes.
applying this here, you will find that the number in the hundreds position is 6 which is greater than 5,
therefore 8624 to the nearest thousands is 8700
Answer:
the probability that a plain pencil is chosen from the first box is 7/12.And the probability that a color pencil is chosen from the second box is 1/2.
Step-by-step explanation: