Question
Find the equivalent equation for the following.
3x - 5y = 12
- 6x – 10y = 36
- 6x – 10y = 12
- 6x – 10y = 24
- 6x – 5y = 24
Hint:
In this question, we have to find the equivalent equation for the following equation that is 3x – 5y = 12.Equivalent equations are algebraic equation that have identical solution or roots.
The correct answer is: 6x – 10y = 24
Here we have to find the equivalent solution for the 3x – 5y = 12.
Firstly , we have a equation,
3x – 5y = 12 ---- equation (1)
(a) 6x – 10y = 12
Now multiply equation (1) by 2 , we have
6x – 10y = 24 so its not equivalent with 6x – 10y = 12 so this is wrong option.
(b) 6x – 10y = 24
Multiply the equation (1) by 2:
2(3x - 5y) = 2(12)
6x – 10y = 24
This equation 1 is 3x – 5y = 12 is equivalent to 6x – 10y = 24 because we when we multiply equation (1) by 2 then both equation would be same.
Therefore ,6x – 10y = 24 is correct answer .
In this question, we have to find the equivalent equation . Equivalent means equals. Equivalent equations are algebraic equation that have identical solution or roots.
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