Which of the following equations can be formed using the expression x = 5:
(a) 2x + 3 = 13
(b) 3x + 2 = 13
(c) x – 5 = 1
(d) 4x – 9 = 21
Solution:
Let’s check each of the given equations
(a) 2x + 3 = 13
The given expression is x = 5
On multiplying both sides by 2 we get, 2x = 10
Now by adding 3 to both the sides we get, 2x + 3 = 13
Hence the equation 2x + 3 = 13 can be formed using the expression x = 5.
(b) 3x + 2 = 13
The given expression is x = 5
On multiplying both sides by 3 we get, 3x = 15
Now by adding 2 to both the sides we get, 3x + 2 = 17
Hence the equation 3x + 2 = 13 can’t be formed using the expression x = 5.
(c) x – 5 = 1
The given expression is x = 5
On subtracting 5 from both the sides we get, x – 5 = 0
Hence the equation x – 5 = 1 can’t be formed using the expression x = 5.
(d) 4x – 9 = 21
The given expression is x = 5
On multiplying both sides by 4 we get, 4x = 20
Now by subtracting 9 from both the sides we get, 4x – 9 = 11
Hence the equation 4x – 9 = 21 can’t be formed using the expression x = 5.
Thus, the correct option is (a) 2x + 3 = 13.
✦ Try This: Which of the following equations can be formed using the expression x = 3:
(a) 4x + 3 = 7
(b) 3x + 2 = 17
(c) x – 3 = – 6
(d) 3x – 8 = 1
Let’s check each of the given equations
(a) 4x + 3 = 7
The given expression is x = 3
On multiplying both sides by 4 we get, 4x = 12
Now by adding 3 to both the sides we get, 4x + 3 = 15
Hence the equation 4x + 3 = 7 can’t be formed using the expression x = 3.
(b) 3x + 2 = 17
The given expression is x = 3
On multiplying both sides by 3 we get, 3x = 9
Now by adding 2 to both the sides we get, 3x + 2 = 11
Hence the equation 3x + 2 = 17 can’t be formed using the expression x = 3.
(c) x – 3 = – 6
The given expression is x = 3
On subtracting 3 from both the sides we get, x – 3 = 0
Hence the equation x – 3 = – 6 can’t be formed using the expression x = 3.
(d) 3x – 8 = 1
The given expression is x = 3
On multiplying both sides by 3 we get, 3x = 9
Now by subtracting 8 from both the sides we get, 3x – 8 = 1
Hence the equation 3x – 8 = 1 can be formed using the expression x = 3.
Thus, the correct option is (d) 3x – 8 = 1.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 4
NCERT Exemplar Class 7 Maths Chapter 4 Solved Ex 3
Which of the following equations can be formed using the expression x = 5: (a) 2x + 3 = 13 (b) 3x + 2 = 13 (c) x – 5 = 1 (d) 4x – 9 =21
Summary:
Hence the equation (a) 2x + 3 = 13 can be formed using the expression x = 5
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