Question
Find the equivalent equation for the following.
4x - 2y = 12
- 9x – 6y = 8
- 8x – 4y = 24
- 9x – 6y = 24
- 8x – 6y = 24
Hint:
In this question, we have to find the equivalent equation for the following equation that is 4x - 2y = 12. Equivalent equations are algebraic equation that have identical solution or roots.
The correct answer is: 8x – 4y = 24
Here we have to find the equivalent solution for the 4x - 2y = 12.
Firstly , we have a equation,
4x - 2y = 12 ----(1)
(1) 9x – 6y = 8
Now multiply equation (1) by 3 , we have
12x – 6y = 36 so its not equivalent with 9x – 6y = 8, so this is wrong option.
(2) 8x – 4y = 24
Multiply the equation by 2:
2(4x - 2y) = 2(12)
8x - 4y = 24
This equation 1 is 3x – 5y = 12is equivalent to 8x - 4y= 24 because we when we multiply equation (1) by 2 then both equation would be same.
Therefore ,8x - 4y = 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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