解二元一次方程组:{2x-5y=7 (x-y)/3=(x+y)/2

问题描述:

解二元一次方程组:{2x-5y=7 (x-y)/3=(x+y)/2

由(x-y)/3=(x+y)/2 得x=-5y代入2x-5y=7 得y=-7/15,x=7/3

(x-y)/3=(x+y)/2化为2x-2y=3x+3y化简得到-x=5y代入2x-5y=7得3x=7 x=7/3

{2x-5y=7 (x-y)/3=(x+y)/22(x-y)=3(x+y)2x-2y=3x+3yx+5y=0 x=-5y 将X=-5y带入2x-5y=7里得2*(-5y)-5y=7 -10y-5y=7 -15y=7 y=-7/15将y=-7/15带入X=-5y里得 x=7/3{x=7/3 Y=-7/15