Question
Find the equivalent equation for the following.
-4x + 9y = -3
- -4x + 9y = -6
- -8x - 18y = -6
- -8x + 18y = 6
- 8x – 18y = 6
Hint:
In this question, we have to find the equivalent equation for the following equation that is -4x + 9y = -3. Equivalent equations are algebraic equation that have identical solution or roots.
The correct answer is: 8x – 18y = 6
Here we have to find the equivalent solution for the -4x + 9y = -3.
Firstly , we have a equation,
-4x + 9y = -3, ----(1)
(1) -4x + 9y = -6
Now multiply equation (1) by 1, we have
-4x + 9y = -3 so its not equivalent with -4x + 9y = -6 so this is wrong option.
(2) 8x – 18y = 6
Multiply the equation by -2:
-2(-4x + 9y) = -2(-3)
8x – 18y = 6
This equation 1 is -4x + 9y = -3 is equivalent to 8x – 18y = 6 because we when we multiply equation (1) by -2 then both equation would be same.
Therefore ,8x – 18y = 6 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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