# Algebra

#### Question 3:

Pick out the solution from the values given in the bracket next to each equation. Show that the other values do not satisfy the equation.

(a) 5*m*
= 60 (10, 5, 12, 15)

(b) *n*
+ 12 = 20 (12, 8, 20, 0)

(c) *p*
− 5 = 5 (0, 10, 5 − 5)

(d) (7, 2, 10, 14)

(e) *r*
− 4 = 0 (4, − 4, 8, 0)

(f) *x *+
4 = 2 (− 2, 0, 2, 4)

#### Answer:

(a) 5*m*
= 60

*m *= 12 is a solution to the given equation because for *m*
= 12,

5*m* = 5 × 12 = 60 and hence, the equation is satisfied.

*m *= 10 is not a solution to the given equation because for *m*
= 10,

5*m* = 5 × 10 = 50, and not 60

*m *= 5 is not a solution to the given equation because for *m*
= 5,

5*m* = 5 × 5 = 25, and not 60

*m *= 15 is not a solution to the given equation because for *m*
= 15,

5*m* = 5 × 15 = 75, and not 60

(b)* n *+
12 = 20

*n *= 8 is a solution to the given equation because for *n*
= 8,

*n* + 12 = 8 + 12 = 20 and hence, the equation is satisfied.

*n *= 12 is not a solution to the given equation because for *n
*= 12,

*n* + 12 = 12 + 12 = 24, and not 20

*n *= 20 is not a solution to the given equation because for *n
*= 20,

*n* + 12 = 20 + 12 = 32, and not 20

*n *= 0 is not a solution to the given equatio...

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