Question

solve for f −11f=7(1−2f)+5

Answer 1

hope it helps you out

Answer 2

The value of f = 4

GIVEN:-

$−11f=7(1−2f)+5$

TO FIND:- the value of f

SOLUTION:-

• In mathematics Brackets imply multiplication.
• LHS= RHS (given)

$−11f=7(1−2f)+5 \\ - 11f = (7 \times 1) - (7 \times 2f) + 5 \\ - 11f = 7 - 14f + 5 \\ - 11f = 12 - 14f$

When we shift any number or variable from one side to another then the sign changes

$14f - 11f = 12 \\ 3f = 12$

Dividing both sides by 3

$\frac{3f}{3} = \frac{12}{3} \\ f = 4$

Let's Proof

$−11f=7(1−2f)+5 \\ - 11 \times 4 = 7(1 - 2 \times 4) + 5 \\ - 44 = 7(1 - 8) + 5 \\ - 44 = 7 \times - 7 + 5 \\ - 44 = - 49 + 5 \\ - 44 = - 44$

Hence proved LHS=RHS

Hence, the value of f = 4

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