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2 years ago

2a(5-b)=3b+7 solve for b Step by step

1 answer:

4 0

2a(5-b)=3b+7

[open bracket]
10a - 2ab = 3b + 7

[solve for b, so we need to move all terms with b to the left]
[-3b on both sides]
10a - 2ab - 3b = 3b + 7 - 3b
10a - 2ab - 3b = 7

[move all those without b to the right]
[-10a on both side]
10a - 2ab- 3b - 10a = 7 - 10a
-2ab - 3b = 7 - 10a

[divide by -1 through to change b to be positive]
2ab + 3b = 10a - 7

[take b out as the common factor]
b(2a + 3) = 10a - 7

[divide by (2a+3) through]
b = (10a -7)/(2a+3)

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Comment on these problems

You will notice that the values in part (b) are 5 times those in part (a). So, it is no surprise that the answer in part (b) is 5 times the answer in part (a).

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