Final answer:
In a system of equations with no solution, the lines are parallel and the coefficients of the terms are proportional. The value of b divided by a would be equal to 1 if the lines have identical slopes. For specific equations, b/a would be found by comparing corresponding coefficients.
Step-by-step explanation:
The student is asking about a system of linear equations that has no solutions. When a system of equations has no solutions, it means the lines are parallel, and therefore, the coefficients of the x and y terms are proportional while the constants are not. If the system written in the form ax + by = c has no solution, and a and b are the coefficients of x in two different equations, then the ratio b divided by a must be the same for both lines. However, since there's no solution, the value of c also plays an important role and must not have the same ratio as b to a. Since the problem asks for the value of b divided by a, and given that the lines are parallel (no intersection), the value of b divided by a will be equal to the ratio of the coefficients of y, which ultimately is the slope of the lines.
Therefore, without knowing the exact values of b and a, we can deduce that the value of b divided by a would be equal to 1, assuming the student provided a system of equations where the coefficients of x or y terms are identical in both equations. Should the question have provided specific equations, we would calculate the precise value of b divided by a accordingly.