Question

Solve this equation y=bd-6, for b

Answer 1

To solve this equation, you would need to isolate b. To do this, first you would add six to both sides. Then, to get rid of the d, you would divide both sides by d since that is the opposite of multiplication. So, the answer would be

b = y-6
———
d

Answer 2

Answer:Let’s rearrange the first and third equations in terms of  a :

⇒a+b=8⇒a=8−b  (i)

and

⇒a+c=13⇒a=13−c(ii)

Then, let’s equate  (i)  and  (ii) :

⇒8−b=13−c⇒b=c−5(iii)

Now, let’s use the second and fourth equations to find expressions for  b  and  c :

⇒c−d=6⇒c=6+d(iv)

and

⇒b+d=8⇒b=8−d(v)

Let’s equate  (iii)  and  (v) :

⇒c−5=8−d⇒c=13−d(vi)

We can now equate  (iv)  and  (vi) :

⇒6+d=13−d⇒2d=7∴d=72

Let’s substitute this value of  d  into  (iv)  and  (v) :

∴c=6+(72)=192

and

∴b=8−(72)=92

We can use either  (i)  or  (ii)  to find  a .

Let’s try using  (i) :

∴a=8−(92)=72

Therefore, the solutions to the system of equations is  a=72 ,  b=92 ,  c=192 , and  d=72 .

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