Question 1 :
Find the solution of the equation if the replacement set is {10, 11, 12, 13, 14, 15}.
3x - 7 = 29
Question 2 :
Find the solution of the equation if the replacement set is {10, 11, 12, 13, 14, 15}.
12(x - 8) = 84
Question 3 :
Find the solution of the equation if the replacement set is {1/4, 1/2, 3/4, 1, 5/4}.
x + (2/5) = 23/20
Question 1 :
Find the solution of the equation if the replacement set is {10, 11, 12, 13, 14, 15}.
3x - 7 = 29
Solution :
we may decide that the particular value is the solution if it satisfies the given equation.
x = 10
3(10) - 7 = 29
30 - 7 = 29
23 ≠ 29 (False)
So, 10 is not the solution of the given equation.
x = 11
3(11) - 7 = 29
33 - 7 = 29
26 ≠ 29 (False)
So, 11 is not the solution of the given equation.
x = 12
3(12) - 7 = 29
36 - 7 = 29
29 ≠ 29 (True)
So, 12 is the solution of the given equation.
Question 2 :
Find the solution of the equation if the replacement set is {10, 11, 12, 13, 14, 15}.
12(x - 8) = 84
Solution :
We may decide that the particular value is the solution if it satisfies the given equation.
x = 10
12(10 - 8) = 84
12(2) = 84
24 ≠ 84 (False)
So, 10 is not the solution of the given equation.
x = 11
12(11 - 8) = 84
12(3) = 84
36 ≠ 84 (False)
So, 11 is not the solution of the given equation.
x = 12
12(12 - 8) = 84
12(4) = 84
48 ≠ 84 (False)
So, 11 is not the solution of the given equation.
Question 3 :
Find the solution of the equation if the replacement set is {1/4, 1/2, 3/4, 1, 5/4}.
x + (2/5) = 23/20
Solution :
We may decide that the particular value is the solution if it satisfies the given equation.
x = 1/4
(1/4) + (2/5) = 23/20
(5 + 8)/20 = 23/20
13/20 ≠ 23/20 (False)
So, 1/4 is not the solution of the given equation.
x = 1/2
(1/2) + (2/5) = 23/20
(5 + 4)/10 = 23/20
9/10 ≠ 23/20 (False)
So, 1/2 is not the solution of the given equation.
x = 3/4
(3/4) + (2/5) = 23/20
(15 + 8)/20 = 23/20
23/20 ≠ 23/20 (True)
So, 3/4 is not the solution of the given equation.
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