Question

What will be the value of "f" if, 5f - 4 = - 3f - 10?

Answer 1

Answer:

$5f-4=-3f-10\quad :\quad f=-\dfrac{3}{4}\quad \left(\mathrm{Decimal}:\quad f=-0.75\right)$

Step-by-step explanation:

$5f-4=-3f-10$

$\mathrm{Add\:}4\mathrm{\:to\:both\:sides}$

$5f-4+4=-3f-10+4$

$\mathrm{Simplify}$

$5f=-3f-6$

$\mathrm{Add\:}3f\mathrm{\:to\:both\:sides}$

$5f+3f=-3f-6+3f$

$\mathrm{Simplify}$

$8f=-6$

$\mathrm{Divide\:both\:sides\:by\:}8$

$\dfrac{8f}{8}=\dfrac{-6}{8}$

$\mathrm{Simplify}$

$f=-\dfrac{3}{4}$

Answer 2

$\mathfrak{\red{\underline{\underline{Question}}}}$

What will be the value of f if, 5f - 4 = - 3f - 10?

$\mathfrak{\red{\underline{\underline{Answer}}}}$

$\boxed{ f = -\dfrac{3}{4}}$

$\mathfrak{\red{\underline{\underline{Step\: By\: Step\: Solution}}}}$

Simplifying

5f - 4 = -3f - 10

Reordering the terms

5f + 3f = -10 + 4

Solving

8f = -6

Solving for variable f

f = $\dfrac{-6}{8}$

f = $-\dfrac{3}{4}$