5x-7y=12,11x+19y=36

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5x-7y=12,11x+19y=365x-7y=12,11x+19y=365x-7y=12,11x+19y=365x-7y=12(1)11x+19y=36(2)(1)×19+(2)×795x+77x

5x-7y=12,11x+19y=36
5x-7y=12,11x+19y=36

5x-7y=12,11x+19y=36
5x-7y=12 (1)
11x+19y=36 (2)
(1)×19+(2)×7
95x+77x=480
172x=480
所以x=120/43
y=(5x-12)/7=12/43

x=4/3
y=8/13

5x-7y=12(1)
11x+19y=36(2)
解(1)*3得:15x-21y=36(3)【准备消去常数项!】
(3)-(2)得4x-40y=0
x=10y
代入(1)中y=12/47
所以x=120/47
方程组的解为{x=120/47 y=12/47}

5x-7y=12 ① 11x+19y=36 ②
①*11得:55x-77y=132 ③
②*5得:55x+95y=180 ④
④-③得:172y=48 故:y=12/43
将y=12/43代入①得:x=120/43