Solve the following equations and check the result (method of transposition a) 9(a+3)+7=22 b) 25-18-7(b-6)
Answers
Answer:
a) -4/3
b) 7
Step-by-step explanation:
a) 9(a+3) + 7 = 22
Multiply 9 inside the braces,
9a + 27 + 7 = 22
Keeping the variable in LHS,
9a = 22 - 7 -27
9a = -12
a = -12/9
a = -4/3 or -1.33
b) 25-18 = 7(b-6)
7 = 7b - 42
7 + 42 = 7b
49 = 7b
b = 7
Given :
a) 9(a+3) + 7 = 22
b) 25 = 18 - 7(b-6) ( correction)
https://brainly.in/question/47882286
To Find : Solve the following equations using method of transposition
Verify the result
Solution:
a) 9(a+3) + 7 = 22
Using distributive property
9a + 27 + 7 = 22
=> 9a + 34 = 22
Transpose 34 on RHS
=> 9a = 22 - 34
=> 9a = - 12
Transpose 9
=> a = - 12/9
=> a = -4/3
9(a+3) + 7 = 22
Substitute a = -4/3 in LHS
LHS = 9( -4/3 + 3) + 7
= -12 + 27 + 7
= 15 + 7
= 22
= RHS
Verified
b)
25 = 18 - 7(b-6)
Transpose 18 on LHS
=> 25 - 18 = -7(b - 6)
=> 7 = -7(b - 6)
transpose - 7
=> 7/(-7) = b - 6
=> - 1 = b - 6
Transpose -6
=> -1 + 6 = b
=> 5 = b
=> b = 5
25 = 18 - 7(b-6)
Substitute b = 5 in RHS
RHS = 18 - 7(5 - 6)
= 18 - 7(-1)
= 18 + 7
= 25
= LHS
Verified
a = -4/3 and b = 5
Learn More:
Solve the following x+y/xy=5 and x-5/xy=7 - Brainly.in
brainly.in/question/8168066
solve for x and y : x+y/xy=2,xy/=6
brainly.in/question/12892518