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) 5m = 60 (10, 5, 12, 15)
(b) n + 12 (12, 8, 20, 0)
(c) p – 5 = 5 (0, 10, 5 – 5)
(d) q / 2 = 7 (7, 2, 10, 14)
(e) r – 4 = 0 (4, -4, 8, 0)
(f) x + 4 = 2 (-2, 0, 2, 4)
Answers
Answer:
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Step-by-step explanation:
a)5m = 60
m = 60/5 = 12
b)n+12
n = 12
c) p-5 = 5
p = 5+5
p = 10
d) q/2 = 7
q = 7*2
q =14
e) r - 4 = 0
r = 4
f) x+4=2
x = 2-4
x = -2
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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