Question
Find the equivalent equation for the following.
4x - 9y = -7
- 16x – 18y = -7
- 8x – 36y = -21
- 16x – 36y = 28
- 16x – 36y = -28
Hint:
In this question, we have to find the equivalent equation for the following equation that is 4x - 9y = -7. Equivalent equations are algebraic equation that have identical solution or roots.
The correct answer is: 16x – 36y = -28
Here we have to find the equivalent solution for the 4x - 9y = -7.
Firstly , we have a equation,
4x - 9y = -7 ----(1)
(1) 16x – 18y = -7
Now multiply equation (1) by 4 , we have
16x - 36y = -28 so its not equivalent with 16x – 18y = -7 so this is wrong option.
(2) 16x – 36y = -28
Multiply the equation (1) by 4:
4(4x - 9y) = 4(-7)
16x - 36y = -28
This equation 1 is 4x - 9y = -7 is equivalent to 16x – 18y = -7 because we when we multiply equation (1) by 4 then both equation would be same.
Therefore ,16x - 36y = -28 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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