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Please help! I get how to do the first part I just don't get how to do the second part.

Please help! I get how to do the first part I just don't get how to do the second-example-1
User JohnZaj
by
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1 Answer

3 votes

9514 1404 393

Answer:

WX = 33

(x, y) = (2, 10)

Explanation:

The hash marks tell you WX is a midline, so has the measure of the average of the two bases.

WX = (PQ +SR)/2 = (27 +39)/2 = 66/2

WX = 33

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The hash marks also tell you ...

PW = WS

y +4x = 18 . . . . . . substitute the given expressions

and also

QX = XR

2y +x = 22 . . . . . substitute the given expressions

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If you solve the first equation for y, you get ...

y = 18 -4x

Substituting that into the second equation gives ...

2(18-4x) +x = 22

36 -7x = 22 . . . . . . . simplify

14 = 7x . . . . . . . . . . . add 7x-22 to both sides

2 = x . . . . . . . . . . . . divide by 7

y = 18 -4(2) = 10 . . . find y using the above relation

The values of x and y are 2 and 10, respectively.

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My favorite "quick and dirty" way to solve a set of linear equations is using a graphing calculator. It works well for integer solutions.

Please help! I get how to do the first part I just don't get how to do the second-example-1
User Brian Cline
by
8.3k points

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