4x-4y=96,x^2-y^2=960,求x,y的值讲的清楚一点哦!

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4x-4y=96,x^2-y^2=960,求x,y的值讲的清楚一点哦!

4x-4y=96,x^2-y^2=960,求x,y的值讲的清楚一点哦!
4x-4y=96,x^2-y^2=960,求x,y的值
讲的清楚一点哦!

4x-4y=96,x^2-y^2=960,求x,y的值讲的清楚一点哦!
4x-4y=96
x-y=24
所以x^2-y^2
=(x+y)(x-y)=960
24(x+y)=960
x+y=40
所以方程组化简为
x-y=24
x+y=40
解得
x=32
y=8

x-y=24
x^2-y^2=(x+y)(x-y)=960
带入x-y=24,得x+y=40
解x+y=40
x-y=24
得x=32, y=8

前边一个式子两边同时除以4:x-y=24,x^2-y^2=(x+y)(x-y)=960
即得解。