题目内容

4.小亮解方程组$\left\{\begin{array}{l}{2x+y=●}\\{2x-y=12}\end{array}\right.$的解为$\left\{\begin{array}{l}{x=5}\\{y=★}\end{array}\right.$,由于不小心滴上了两滴墨水,刚好遮住了两个数●和★,则两个数●与★的值为(  )
A.$\left\{\begin{array}{l}{●=8}\\{★=2}\end{array}\right.$B.$\left\{\begin{array}{l}{●=-8}\\{★=-2}\end{array}\right.$C.$\left\{\begin{array}{l}{●=-8}\\{★=2}\end{array}\right.$D.$\left\{\begin{array}{l}{●=8}\\{★=-2}\end{array}\right.$

分析 根据题意可以分别求出●与★的值,本题得以解决.

解答 解:∵方程组$\left\{\begin{array}{l}{2x+y=●}\\{2x-y=12}\end{array}\right.$的解为$\left\{\begin{array}{l}{x=5}\\{y=★}\end{array}\right.$,
∴将x=5代入2x-y=12,得y=-2,
将x=5,y=-2代入2x+y得,2x+y=2×5+(-2)=8,
∴●=8,★=-2,
故选D.

点评 本题考查二元一次方程组的解,解题的关键是明确题意,求出所求数的值.

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