EXERCISE 6A
1. Solve the following equations by adding, subtracting, multiplying or dividing both
sides of the equations by the same number.
a. x + 5 = 3 b. a - 3 = 5 c. 7a = 14 d. 2+ 9 = 6
e. 8 = 16d
5a + a = 12
g. a - 3a = 8 h. 6p = -9 + 9 i. 4y = 2y - 5 j. 19a = -38
uring the solution d = 5.
f
.
the value of the
Answers
Answer:
a. x+ 5 = 3
x = 3 -5
x= -2
b.a - 3 = 5
a = 5+3
a = 8
c. 7a = 14
a = 14/7
a = 2
d. sorry ..
e.8 = 16d
d = 16/8
d = 2
f. 5a + a = 12
6a = 12
a = 12/6
a = 2
g. a - 3a = 8
-2a = 8
a = 8/-2
a = -4
h.6p = -9 +9
p = -6
I. 4y = 2y -5
4y - 2y = -5
2y = -5
y = -5/2
j. 19a = -38
a = -38/19
a = -2
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The correct answers are a) x = -2, b) a = 8, c) a = 2, d) 2+9 ≠ 6,
e) d = 0.5, f) a = 2, g) a = -4, h) p = 0, i) y =-5/2, and j) a = -2.
a. We have been given that
x + 5 = 3
Taking 5 to the RHS, we have
x = 3-5
Using the operation of subtraction of integers, we have
x = -2.
b. We have been given that
a - 3 = 5
Taking -3 to the RHS, we have
a = 5+3
Using the operation of subtraction of integers, we have
a = 8.
c. We have been given that
7a = 14
Taking 7 to the RHS, we have
a = 14/7
Using the operation of the division of integers, we have
a = 2.
d. We have been given that
2+ 9 = 6
⇒ 11 = 6
This statement is false as it is an inequality.
∴ 2+9 ≠ 6.
e. We have been given that
8 = 16d
Taking 16 to the LHS, we have
8/16 = d
Using the operation of the division of real numbers, we have
d = 1/2 = 0.5
∴ d = 0.5
f. We have been given that
5a + a = 12
⇒ 6a = 12
Taking 6 to the RHS, we have
a = 12/6
Using the operation of the division of integers, we have
a = 2
g. We have been given that
a - 3a = 8
⇒ -2a = 8
Using the operation of the division of integers, we have
a = 8/(-2) = -4
a = -4
h. We have been given that
6p = -9 + 9
6p = 0
Using the operation of the division of integers, we have
p = 0/6 = 0
p = 0
i. We have been given that
4y = 2y - 5
Taking 2y to the RHS, we have
4y-2y = -5
⇒ 2y = -5
Using the operation of the division, we have
y =-5/2.
j. We have been given that
19a = -38
Taking 19 to the RHS and applying the operation of division, we have
a = -38/19 = -2
a = -2.
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