Introduction to solving linear equations
The problem: Let us look at our apple and balance example to form an equation like the below:
Clearly, there are "known" and "unknown" values in the equation. The weights with 1 (gram) values are known because we exactly know how heavy each of them is. The weight of the apple is unknown and denoted by "A" here.
It is customary to keep the unknowns in the left hand side of the equation. No reason here. It is just some practice that we follow and we need to get used to.
So, let us try to find the weight of an apple. We can safely remove the three (3) weights from either side without disturbing the balance, right? That is also as per the lesson learnt in the previous post that we can subtract the same amount from either side of the balance so as not to disturb the balanced state. Lets see how that looks:
Now, we have learnt recently (previous post) that we can divide the left and right hand side by the same number so as not to disturb the balance.
Finally, we solved the equation. The value of A is 6! So, this is how we arrived at it:
The problem: Let us look at our apple and balance example to form an equation like the below:
Clearly, there are "known" and "unknown" values in the equation. The weights with 1 (gram) values are known because we exactly know how heavy each of them is. The weight of the apple is unknown and denoted by "A" here.
It is customary to keep the unknowns in the left hand side of the equation. No reason here. It is just some practice that we follow and we need to get used to.
So, let us try to find the weight of an apple. We can safely remove the three (3) weights from either side without disturbing the balance, right? That is also as per the lesson learnt in the previous post that we can subtract the same amount from either side of the balance so as not to disturb the balanced state. Lets see how that looks:
Now, we have learnt recently (previous post) that we can divide the left and right hand side by the same number so as not to disturb the balance.
Finally, we solved the equation. The value of A is 6! So, this is how we arrived at it:
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