SAT数学Problem Solving练习题(34)

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摘要:下面是小站SAT频道为大家整理了SAT数学Problem Solving练习题(34),供考生们参考,以下是详细内容。

以下是小站SAT频道为大家整理了SAT数学Problem Solving练习题(34),供考生们参考,以下是详细内容。

Question 34:

Find the value of x if:

x + y + z = 5

x + y - z = 3

x - y = 2

(a) -3

(b) -1

(c) 0

(d) 3

(e) 5

Answer: We notice that if we add equations 1 and 2 we can eliminate z: x + y + z + x + y - z = 5 + 3

2·(x + y) = 8

x + y = 4

At this point we have a system of 2 linear equations with 2 variables, x and y:

x - y = 2

x + y = 4

If we add these 2 equations, we get 2·x = 6 so x = 3.

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