Respuesta :
Answer:
The System of equation are [tex]\left \{ {{m+s=42} \atop {m-s=10} \right.[/tex]
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;
[tex]m+s=42 \ \ \ \ equation \ 1[/tex]
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;
[tex]m=10+s\\\\m-s=10 \ \ \ \ equation \ 2[/tex]
Hence the System of equation are [tex]\left \{ {{m+s=42} \atop {m-s=10} \right.[/tex]
Now Solving the system of equation we get;
Adding equation 1 and equation 2 we get;
[tex](m+s)+(m-s)= 42+10\\\\m+s+m-s=52\\\\2m=52\\\\m=\frac{52}{2}=26[/tex]
Now Substituting the value of 'm' in equation 1 we get;
[tex]m+s=42\\\\26+s=42\\\\s=42-26\\\\s=16[/tex]
Hence I have 26 math problems and 16 science problems.
