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	`"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	`"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 = `"m"/2 = 7/2`

RHS = 14

Since LHS≠ RHS, so m = 7 is not a solution of equation `"m"/2 = 14`