An architect designing a parking lot has a row 62.0 m wide to divide into spaces for compact cars and full-size cars. The architect determines that 16 compact car spaces and 6 full-size car spaces would use this exact width, while 12 compact car spaces and 9 full-size car spaces would use all but 0.200 m of the width. (a) Let x represent the width of each compact car space (in m), and let y represent the width of each full-size car space (in m). Set up a system of two linear equations with these two unknown variables x and y. (b) Solve the linear system in part (a), to determine x and y.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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An architect designing a parking lot has a row 62.0 m wide to divide into spaces for compact cars and full-size cars. The architect determines that 16 compact car spaces and 6 full-size car spaces would use this exact width, while 12 compact car spaces and 9 full-size car spaces would use all but 0.200 m of the width.


(a) Let x represent the width of each compact car space (in m), and let y represent the width of each full-size car space (in m). Set up a system of two linear equations with these two unknown variables x and y.


(b) Solve the linear system in part (a), to determine x and y.

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