Question

37 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) Sm = 60
(10, 5, 12, 15)
(b) + 12 = 20
#
(12, 8, 20,0)
(c)p - 5=5
(0, 10, 5-5)
9
(d)
2
(e) r-450
(f) x + 4 = 2
(7,2, 10, 14)
(4, -4,8, 0)
(-2,0, 2, 4)? ​

Answer 1

Answer:SOLUTION :

(a) 5m = 60

m = 12 is a solution for this equation because for m = 12,

5m = 5 × 12

5m = 60

∴ Equation satisfied

m = 10 is not a solution for this equation because for m = 10,

5m = 5 × 10

5m = 50 and not 60

m = 5 is not a solution for this equation because for m = 5,

5m = 5 × 5

5m = 25 and not 60

m = 15 is not a solution for this equation because for m = 15,

5m = 5 × 15

5m = 75 and not 60

(b) n + 12 = 20

n = 8 is a solution for this equation because for n = 8,

n + 12 = 8 + 12

n+ 12 = 20

∴ Equation satisfied

n = 12 is not a solution for this equation because for n = 12,

n + 12 = 12 + 12

n+24 = 24 and not 20

n = 20 is not a solution for this equation because for n = 20,

n + 12 = 20 + 12

n+12 = 32 and not 20

n = 0 is not a solution for this equation because for n = 0,

n + 12 = 0 + 12

n +12 = 12 and not 20

(c) p – 5 = 5

p = 10 is a solution for this equation because for p = 10,

p – 5 = 10 – 5

p - 5 = 5

∴ Equation satisfied

p = 0 is not a solution for this equation because for p = 0,

p – 5 = 0 – 5

p - 5 = -5 and not 5

p = 5 is not a solution for this equation because for p = 5,

p – 5 = 5 – 5

p - 5 = 0 and not 5

p = -5 is not a solution for this equation because for p = -5,

p – 5 = -5 – 5

p - 5 = – 10 and not 5

(d) q / 2 = 7

q = 14 is a solution for this equation because for q = 14,

q / 2 = 14 / 2

q / 2 = 7

∴ Equation satisfied

q = 7 is not a solution for this equation because for q = 7,

q / 2 = 7 / 2 and not 7

q = 2 is not a solution for this equation because for q = 2,

q / 2 = 2 / 2

q / 2 = 1 and not 7

q = 10 is not a solution for this equation because for q = 10,

q / 2 = 10 / 2

q/2 = 5 and not 7

(e) r – 4 = 0

r = 4 is a solution for this equation because for r = 4,

r – 4 = 4 – 4

r - 4 = 0

∴ Equation satisfied

r = -4 is not a solution for this equation because for r = – 4,

r – 4 = – 4 – 4

r - 4 = -8 and not 0

r = 8 is not a solution for this equation because for r = 8,

r – 4 = 8 – 4

r - 4 = 4 and not 0

r = 0 is not a solution for this equation because for r = 0,

r – 4 = 0 – 4

r - 4 = – 4 and not 0

(f) x + 4 = 2

x = -2 is a solution for this equation because for x = -2,

x + 4 = – 2 + 4

x +4 = 2

∴ Equation satisfied

x = 0 is not solution for this equation because for x = 0,

x + 4 = 0 + 4

x + 4 = 4 and not 2

x = 2 is not a solution for this equation because for x = 2,

x + 4 = 2 + 4

x + 4 = 6 and not 2

x = 4 is not a solution for this equation because for x = 4,

x + 4 = 4 + 4

x + 4 = 8 and not 2

Step-by-step explanation: