Question

You have 34 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.

Answer 1

Explanation:

s = science problems

m = math problems = 10 + s totaled = 34

s + 10+s = 34

2s = 24

s = 12 then m = 22

System of equations

m+s = 34

m = 10 + s <=====,ultiply this equation by -1

-m =-10 -s add to first equation

s = 24 -s

2s = 24

s = 12 then m is 10 + s = 22