Question
Find the equivalent equation for the following.
3x - 2y = 8
- 9x – 6y = 8
- 9x – 6y = 16
- 9x – 6y = 24
- 6x – 4y = 24
Hint:
In this question, we have to find the equivalent equation for the following equation that is 3x - 2y = 8. Equivalent equations are algebraic equation that have identical solution or roots.
The correct answer is: 9x – 6y = 16
Here we have to find the equivalent solution for the 3x - 2y = 8.
Firstly , we have a equation,
3x - 2y = 8 ----(1)
(1) 9x – 6y = 8
Now multiply equation (1) by 3 , we have
9x - 6y = 24 so its not equivalent with 9x – 6y = 8 ,so this is wrong option.
(2) 9x – 6y = 24
Multiply the equation by 3:
3(3x - 2y) = 3(8)
9x - 6y = 24
This equation 1 is 3x - 2y = 8 is equivalent to 9x-6y=24 because we when we multiply equation (1) by 3 then both equation would be same.
Therefore ,9x-6y=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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