方式 vs 方法: 方式 refers to the general manner or mode of doing something (生活方式 lifestyle), while 方法 refers to a specific method or technique (学习方法 study method). They overlap but 方式 is more abstract.
usage
Very common collocations: 生活方式 (lifestyle), 表达方式 (way of expressing), 思维方式 (way of thinking), 支付方式 (payment method).
