6. Which of the following equations has a=2 as a solution? a) 2a+4=8 b) 2(a+4)=8 c) 2a-4 =8 d)2(a-4)=8
Answers
Answer:
a) 2a + 4 = 8 has a = 2 as a solution.
Step-by-step explanation:
a) 2a + 4 = 8
→ 2a = 8 - 4
→ a = 4/2
→ a = 2
.°. a = 2
b) (a+4) = 8
→ a = 8 - 4
→ a = 4
.°. a ≠ 2
c) 2a - 4 = 8
→ 2a = 8 + 4
→ a = 12/2
→ a = 6
.°. a ≠ 2
d) 2(a-4) = 8
→ 2a - 8 = 8
→ 2a = 8 + 8
→ a = 16/2
→ a = 8
.°. a ≠ 2
By seeing the solutions of the equations given, we get a) 2a + 4 = 8 has a = 2 as the Solution.
a) 2a+4=8 ✔️
b) 2(a+4)=8 ✔️
c) 2a-4 =8 ❌
d)2(a-4)=8❌
So , the question is ➜ 6. Which of the following equations has a=2 as a solution?
a) 2a+4=8
b) 2(a+4)=8
c) 2a-4 =8
d)2(a-4)=8
.
Let's see !
a) 2a + 4 = 8
→ 2a = 8 - 4
→ 2a = 4
→ a = 4/2
→ a = 2
----------------------
b) 2(a + 4) = 8
→ 2a + 8 = 8
→ 2a = 8 - 8
→ a = 2
----------------------
c) 2a - 4 = 8
→ 2a = 8 + 4
→ 2a = 12
→ a = 12/2
→ a = 6
So , here a ≠ 2
----------------------
d)2(a-4) = 8
→ 2a - 8 = 8
→ 2a = 8 + 8
→ a = 16/2
→ a = 8
Here also a ≠ 2
--------------------------------
After solving all options we found that
.
In a) 2a+4=8
a = 2
.
In b) 2(a+4)=8
a = 2
.
In c) 2a-4 =8
a ≠ 2
.
And in d)2(a-4)=8
a ≠ 2
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