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SAT官方每日一题附答案和解析[数学](2016年3月10日)

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答案:D

解析:

Choice D is correct.

Because both equations express y in terms of x, set the x-expressions equal to each other and solve. x^2+9= 6x
Determine the x-coordinates in the solution set by setting this quadratic equation equal to zero and factoring (alternatively, we could use the quadratic formula or complete the square).
x^2+9= 6x
x^2-6x+9=0
(x-3)(x-3)=0
Next, set each factor equal to zero and solve. Since the two factors are the same, this only needs to be done once.
x-3=0, x=3
x=3 is the x-coordinate of the solution set. In order to find the y-coordinate of the solution set, substitute this value of x into one of the original equations. In this case, it's easiest to substitute into the linear equation.
y=6x, y=6*3=18
The y-coordinate of the solution of the system of equations is 18.

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equation [i'kweiʃən]

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n. 相等,方程(式), 等式,均衡

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original [ə'ridʒənl]

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adj. 最初的,原始的,有独创性的,原版的

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solve [sɔlv]

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v. 解决,解答

 
solution [sə'lu:ʃən]

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n. 解答,解决办法,溶解,溶液

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formula ['fɔ:mjulə]

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n. 公式,配方,规则;代乳品
adj. (赛

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substitute ['sʌbstitju:t]

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n. 代替者,代用品
vt. 用 ... 代替

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setting ['setiŋ]

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n. 安装,放置,周围,环境,(为诗等谱写的)乐曲

 
factor ['fæktə]

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n. 因素,因子
vt. 把 ... 因素包括

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multiple ['mʌltipl]

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adj. 许多,多种多样的
n. 倍数,并联

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