Answer: the system of linear equations to represent this scenario are
b + g = 30
2b = g + 12
Explanation:
Let b represent the number of boys in the class.
Let g represent the number of girls in the class.
There are 30 students in the math class. This can be expressed as
b + g = 30
There are 6 more boys than 1/2 the number of girls in the class. This can be expressed as
b = g/2 + 6
Cross multiplying by 2, the expression becomes
2b = g + 12