Answer:
Step-by-step explanation:
Let the number of cockles be c and that of winkles be w.
From the first relation,
w = 2c ..........(I)
From the second relation, 6 winkles are accidentally split.
This in equation form means the following:
c/w- 6 = 3/5
By cross multiplication,
5c = 3(w - 6)...........(ii)
We know w = 2c , let’s substitute this into the second equation.
5c = 3(2c - 6)
5c = 6c - 18
Collecting like times, c = 18
And w = 2c = 2(18) = 36
Hence, there were initially 18 cockles and 36 winkles
Answer:
a
Step-by-step explanation:
2 angles. 1 sude
I'll use 44.
This number broken down means 4 in the 10's place and 4 in the ones place
4(10)+4(1)= 40+4=44
The answer is actually choice A
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If we add up the equations straight down we will have 0a+2b = 6
Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away
The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6
To isolate b, we divide both sides by 2
2b = 6
2b/2 = 6/2
b = 3
We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'
Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'
3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1
So a = -1 and b = 3 pair up to form (a,b) = (-1,3)
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To check, plug this ordered pair back into both equations
Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out
Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
-3 = -3
this is true as well
So this confirms that the final answer is choice A
Answer:
Zero
Step-by-step explanation:
3x - 7 = 3x - 9 + 2
3x - 7 = 3x - 7
Add 7 on both sides
3x = 3x
Subtract 3x you get 0.
Hope this helps.