Solve it on page and send the pic
best explanation will be marked as BRAINLIEST
Mayank.....
Answers
ANSWER:
The value of
- a = 3/8
- c = 3/8
- d = 1/8
- e = 1/2
GIVEN:
- a = c
- b = 2e
- b = 2c + 2d
- 3b = 6c + 2d + e
- b = 1
TO FIND:
- The value of a, c, d, e.
EXPLANATION:
b = 2e
Substitute b = 1
1 = 2e
e = 1 / 2
3b = 6c + 2d + e
Substitute b = 1 and e = 1 / 2
3(1) = 6c + 2d + 1/2
3 - 1/2 = 6c + 2d
Multiply by 2 on both sides.
6 - 1 = 12c + 4d
12c + 4d = 5 -------> 1
b = 2c + 2d
Substitute b = 1
1 = 2c + 2d
Multiply by 2 on both sides.
4c + 4d = 2 -------> 2
Subtract equation 1 by equation 2
12c - 4c + 4d - 4d = 5 - 2
8c = 3
c = 3/8
Substitute c = 3/8 in equation 2
4(3/8) + 4d = 2
3/2 + 4d = 2
4d = 2 - 3/2
4d = (4 - 3) / 2
4d = 1/2
d = 1/8
c = a = 3/8
VERIFICATION:
3b = 6c + 2d + e
Substitute c = 3/8 , d = 1/8, e = 1/2 and b = 1
3(1) = 6(3/8) + 2(1/8) + 1/2
3 = 3(3/4) + (1/4) + 1/2
3 = (9/4) + (1/4) + 1/2
3 = (9 + 1 + 2) / 4
3 = 12/4
3 = 3
HENCE VERIFIED.
Answer
a = c
b = 2e
b = 2c + 2d
3b = 6c + 2d + e
b = 1
Substitute "b" value in " b = 2e " ,
⇒ 1 = 2e
⇒ e = ¹/₂
Substitute "e" value in " b = 2c + 2d " ,
⇒ ( 2e ) = 2c + 2d
⇒ 2(¹/₂) = 2c + 2d
⇒ 1 = 2c + 2d
⇒ 2 = 4c + 4d ... (1)
Substitute "e" value in " 3b = 6c + 2d + e " ,
⇒ 3(2e) = 6c + 2d + e
⇒ 5e = 6c + 2d
⇒ 5(¹/₂) = 6c + 2d
⇒ 5 = 12c + 4d ... (2)
Solve (2) - (1) ,
⇒ 3 = 8c
⇒ c = ³/₈
Substitute "c" value in (1) ,
⇒ 2 = 4(³/₈) + 4d
⇒ 4 = 3 + 8d
⇒ 8d = 1
⇒ d = ¹/₈
So ,
→ a = c = ³/₈
→ b = 1
→ d = ¹/₈