Question

Pick out the solutions from the values given in the brackets against each question: Show that the other values do not satisfy the equation. $5m=60$ $(10,5,12,15)$

Answer 1

Hint: Here, substitute the numbers in the bracket in the equation $5m=60$.

Complete step by step answer:
So, here in the bracket, there are some values given. It is mentioned in the question that we have to check whether the values satisfy the given equation.
The given equation is $5m=60$. There are four values in the bracket, $10,5,12$ and $15$.
Let us check if the values satisfy the equation or not.
Now taking the value of$m$ as $10$, LHS$=$$5m=5\times 10=50$, but RHS is $60$.
So, here we can see that LHS$\ne $RHS …………(as we can see above $50\ne 60$)……(1)
So, the value of $m$ cannot be $10$, because it does not satisfy the equation.
Now let us check for $5$. Substituting $m$ as $5$, LHS=$5m=5\times 5=25$, and RHS=$60$.
So, we got LHS as $25$ and RHS as $60$ which are not equal.
So, LHS$\ne $RHS …………(as we can see above $25\ne 60$)…..(2)
Hence, the value of $m$ cannot be $5$ because it does not satisfy the equation.
Now let’s check for $12$. Again substituting $m$as $12$, LHS=$5m=5\times 12=60$, and we have RHS=$60$.
So, we got LHS as $60$ and RHS as $60$, that are equal.
Therefore, LHS=RHS…………… (3)
So, the value of $m$ can be $12$ because it satisfies the equation.
Now taking $m$ as $15$ we get, LHS=$5m=5\times 15=75$, and RHS=$60$.
So, we got LHS as $75$ and RHS as $60$ which are not equal.
So, the value of $m$ cannot be $15$ because it does not satisfy the equation.
So, LHS$\ne $RHS …………(as we can see above $75\ne 60$)………(4)

So here we can see from(1), (2),(3) and (4) that only the number $12$ satisfies the equation $5m=60$, and the other values do not satisfy it.

Note: You can solve it or can calculate the value of $m$ by simplifying it, such as $5m=60$.
So, dividing by $5$ on both sides, we get, $m=\dfrac{60}{5}$, m=12.
So, we get the answer as $m=12$, but the question explicitly says that you have to pick up the value from the bracket and show that the other values do not satisfy the equation. So, you have to read the question thoroughly and do what is asked.