You have a total of 42 math and science problems for homework. you have 10 more math problems than science problems. how many problems do you have in each subject? use a system of linear equations to justify your answer.

there are 26 math problems.

There are 16 science problems

Step-by-step explanation:

Let x represent the number of math problems that you have.

Let y represent the number of science problems that you have.

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

x + y = 42 - - - - - - - - - - 1

You have 10 more math problems than science problems. This means that

x = y + 10

Substituting x = y + 10 into equation 1, it becomes

y + 10 + y = 42

2y + 10 = 42

2y = 42 - 10 = 32

y = 32/2 = 16

Substituting y = 16 into x = y + 10, it becomes

x = 16 + 10 = 26

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