The two equations would yield no solution if they are dependent. That means that both equations are equivalent. You can determine this by manipulating the equations through simplification. For example, a dependent equation would be:
3x - 4y = 2
3x/2 - 2y = 1
Another dependent equation is when you multiply the whole equation with a number, say 3.
(3x - 4y = 2)3
9x - 12y = 6
4x-6= 22
Move -6 to the other side.
Sign changes from -6 to +6.
4x-6+6= 22+6
4x= 22+6
4x= 28
Divide by 4 for both sides
4x/4= 28/4
x= 7
Answer : x= 7
You have to divide 20and 4 which your answer would be 5
Here we have a geometric progression!
Data:
n (Number of terms) = 8
(e<span>ighth term)</span>
<span>r (common ratio) = ?<span>
a1 (first term)</span><span> = - 1
a2 second term) = - 4
If: </span></span>
<span>Now, find the geometric progression
</span>Formula:
Solving:
Ok, let's try to find the value of the dividend based on the given information
=> 30 is the divisor
=> The dividend is a 3 digit number, which is the least
=> Remainder of 8
To get the answer, let's find the least number that can be divided with 30
=> 30 * 1 = 30
=> 30 * 2 = 60
=> 30 * 3 = 90
=> 30 * 4 = 120, the least 3 digit number that is divisible with 30
Now, let's add 8 as a reminder
=> 120 + 8 = 128
=> 128//30 = 4 reminder 8
Hope this helps you =)
