Question
Find the equivalent equation for the following.
12x - 15y = -25
- 12x – 15y = 25
- 12x – 15y = -25
- 24x – 30y = 50
- 24x + 30y = -50
Hint:
In this question, we have to find the equivalent equation for the following equation that is 12x – 15y = -25. Equivalent equations are algebraic equation that have identical solution or roots.
The correct answer is: 12x – 15y = -25
Here we have to find the equivalent solution for the 12x - 15y = -25.
Firstly , we have a equation,
12x - 15y = -25, ----(1)
(1) 12x – 15y = 25
Now multiply equation (1) by 1, we have
12x – 15y = -25 so, its not equivalent with 12x – 15y = 25. so this is wrong option.
(2) 12x – 15y = -25
Multiply the equation by 1:
1(12x - 15y) = 1(-25)
12x – 15y = -25
This equation 1 is 12x - 15y = -25 is equivalent to 12x – 15y = -25 because we when we multiply equation (1) by 1 then both equation would be same.
Therefore ,12x – 15y = -25 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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