Question

Find the value of m, if x =2, y = 1 is a solution of the equation 2x + 3y = m.

Answer 1

Hint: To solve this question, we will put the value of x and y in the given equation, and then we have to simplify it to find the value of m. Also, be careful while doing the calculation.

Complete step-by-step answer:
In this question, we are asked to find the value of m and we are given the value of x and y, which is x = 2 and y = 1. To solve this question, we will first consider the given equality, that is,
2x + 3y = m
Now, we have found that x = 2 and y = 1 is the solution of the equation, which means this value of x and y satisfies the condition of the equation. So, we can write it as,
2(2) + 3(1) = m
Now, we will simplify it to find the value of m. Therefore, we will get,
4 + 3 = m
m = 7
From here, we can say that m = 7 is the only value of m for which the equation 2x + 3y = m satisfies at x = 2 and y = 1.

Note: In this question, we are given that x = 2 and y = 1 is the solution of the equation 2x + 3y = m, that means x = 2 and y = 1 satisfies the condition of the equation or we can say when we put the value of x and y, we will get a left-hand side of the equation equal to the right-hand side of the equation.