Question 1097061
<br>For a system of two linear equation to have an infinite number of solutions, the two equations must represent the same line.  Algebraically, that means each equation is a multiple of the other.<br>
In the given pair of equations, the coefficient of y in the second equation is 12 times the coefficient of y in the first equation (2/3 times 12 equals 8), and the coefficient of x in the second equation is 12 times the coefficient of x in the first equation (1/4 times 12 equals 3).  So the constant in the second equation has to be 12 times the constant in the first equation: 2*12 = 24.<br>
Answer: a = 24