Final answer:
The solution to a system of linear equations with an infinite number of solutions is given by expressing one variable as a function of the other. In this case, y is typically solved in terms of x.
Step-by-step explanation:
The student's question pertains to a system of linear equations that has an infinite number of solutions. When two equations represent the same line, every point on the line is a solution to the system, hence the system has infinitely many solutions. When expressing the solution, typically one variable, such as x, is considered the independent variable, and we solve for the other variable, y, in terms of x, making y the dependent variable. For example, if we have equations of the form 7y = 6x + 8 and y + 7 = 3x, we would first simplify each equation to the format y = mx + b, where m represents the slope and b represents the y-intercept. After simplifying, if we find that both equations have identical values for m and b, then they are the same line, and any values of x and y that satisfy one equation will also satisfy the other. An example solution in terms of x might look like y = 3x - 7.