Question

Given below are some equations and the values of the variables. Are these values the solutions to those equations?

No	Equation	Value of the variable	Solution(Yes / No)
1	y − 3 = 11	y = 3	No
2	17 = n + 7	n = 10
3	30 = 5x	x = 6
4	$\frac{m}{2}=14$	m = 7

Answer 1

No	Equation	Value of the variable	Solution(Yes / No)
1	y − 3 = 11	y = 3	No
2	17 = n + 7	n = 10	Yes
3	30 = 5x	x = 6	Yes
4	$\frac{m}{2}=14$	m = 7	No

Explanation

(1)
When y = 3,

LHS = y − 3 = 3 − 3 = 0

RHS = 11

Since LHS ≠ RHS, so y = 3 is not a solution of equation y − 3 = 11.

(2)
When n = 10,

RHS = n + 7 = 10 + 7 = 17

LHS = 17

Since LHS = RHS, so n = 10 is a solution of equation 17 = n + 7.

(3)
When x = 6,

RHS = 5x = 5 × 6 = 30

LHS = 30

Since LHS = RHS, so x = 6 is a solution of equation 30 = 5x.

(4)
When m = 7,

LHS = $\frac{m}{2}=\frac{7}{2}$

RHS = 14

Since LHS ≠ RHS, so m = 7 is not a solution of equation $\frac{m}{2}=14$.