Answer:
(- 2, 6 )
Step-by-step explanation:
Given the equations
3x + 2y = 6 → (1)
y - x = 6 ( multiply through by 3 to clear the fraction )
2y - 3x = 18 ( add 3x to both sides )
2y = 18 + 3x → (2)
Substitute 2y = 18 + 3x into (1)
3x + 18 + 3x = 6
6x + 18 = 6 ( subtract 18 from both sides )
6x = - 12 ( divide both sides by 6 )
x = - 2
Substitute x = - 2 into (1) and solve for y
3(- 2) + 2y = 6
- 6 + 2y = 6 ( add 6 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
solution is (- 2, 6 )
Answer:
9x + 6
Step-by-step explanation:
<u>Step 1: Distribute</u>
5x + (x + 6) + 3x
5x + x + 6 + 3x
<u>Step 2: Combine like terms</u>
5x + x + 6 + 3x
9x + 6
Answer: 9x + 6
The first sequence, it is increase +1 for every number, because 2-3 is 1, 3 - 5 is 2, and 5 - 8 is 3. So, lets add 4 to 8, and we will know the next number of the sequence.
4 + 8 = 12
So, the next number in the first sequence is:
1, 1, 2, 3, 5, 8, 12
Second Sequence:
The second equation is doing exactly the same thing (it increases by 1 every number it goes) just this one is decreasing.
Proof: 26 - 24 is 2, 24 - 21 is 3, and 21 - 17 is 4.
Lets subtract 5 to 17 to know the next number.
17 - 5 = 12
So our next number is:
26, 24, 21, 17, 12
The first one and the last one are correct.
Answer:
2/27
Step-by-step explanation:
the first bag has a total of 15
the second bag has a total of 9
5/15 for the first one
and 2/9 for the second one
1/3 times 2/9 = 2/27
