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Michael and Landon work at a dry cleaners ironing shirts. Michael can iron 40 shirts per hour, and Landon can iron 20 shirts per hour. Michael and Landon worked a combined 14 hours and ironed 360 shirts. Graphically solve a system of equations in order to determine the number of hours Michael worked, ,x, and the number hours Landon worked, y.

I need two equations in y=mx+b form pls

Respuesta :

Answer:

Michael worked 4 hours and Landon worked 10 hours.

Step-by-step explanation:

Michael can iron 40 shirts each hour, so in xx hours he can iron 40x40x shirts. Landon can iron 20 shirts each hour, so in yy hours he can iron 20y20y shirts. The total number of shirts ironed 40x+20y equals 360:

40x+20y=360

40x+20y=360

Since Michael and Landon worked a combined 14 hours, we know x+yx+y must equal 14.

x+y=14

Write System of Equations:

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40x+20y= 360

x+y=14

Solve for y in each equation:

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40x+20y = 360  x+y = 14 20y = -40x+360  

[tex]\frac{-20y}{20}[/tex] =[tex]\frac{-40x+360}{20}[/tex]

y = -2x+18

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