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kramer
3 years ago
13

Solve. 3p + 13 = 37 enter answer in box

Mathematics
2 answers:
Snowcat [4.5K]3 years ago
6 0
<span>3p + 13 = 37
Subtract 13 from both sides
3p=24
Divide 3 on both sides
Final Answer: p=8</span>
Triss [41]3 years ago
6 0
3p+13=37 
 3p-13=13 subtract 13 from 37
3p=24 now we divide
3=24
p=8
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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 .

8.5K viewsView 3 Upvoters

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