The number of solutions to the pair of linear equations a1x + b1y + c1 = 0 a2x + b2y + c2 = 0 are infinity if and only if \(\frac{a_!}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}\)
Here in this case the given pair of linear equations are
2x + 3y = 12 and 3x + 2y = 13
Hence they will not have infinite solutions.