You have a total of 42 math and science problems for homework. you have 10 more math problems than science problems. write and solve a system. how many problems do you have in each subject?

The System of equation are

I have 26 math problems and 16 science problems.

Step-by-step explanation:

Let the number of math problem be 'm'.

Let the number of Science problem be 's'.

Now Given:

You have a total of 42 math and science problems for homework.

It means Number of math problem plus number of Science problem is equal to 42.

Framing the equation we get;

Also Given:

You have 10 more math problems than science problems.

It means that Number of math problem is equal to 10 plus number of Science problem.

Framing the equation we get;

Hence the System of equation are

Now Solving the system of equation we get;

Adding equation 1 and equation 2 we get;

Now Substituting the value of 'm' in equation 1 we get;

Hence I have 26 math problems and 16 science problems.