Question

Write an equation and solve: Your math homework has 6 more than three

Answer 1

Answer: 33 math problems.

Step-by-step explanation:

Let x = Number of math problems

y= Number of history problems

According to the question , we have

$3y+6=x\ \ \ \ \ (i)\\\\ x+y=42\ \ \ \ (ii)$

We can rewrite (i) as $x-3y=6$    (iii)

Now, subtract (iii) from (ii), we get

$y-(-3y)=42-6\\\\\Rightarrow\ y+3y=36\\\\\Rightarrow\ 4y=36\\\\\Rightarrow\ y= \dfrac{36}{4}\\\\\Rightarrow\ y=9$

Put this in (i), we get

$x=3(9)+6 = 27+6=33$

Hence, you have to complete 33 math problems.