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MrRamon
Build Houses 50 = 5v + 2t 
Paint houses 30 = 1v +2t
Tthe system of equations represents the time and amount of houses that can be made in the allotted time. 50 and 30 will be the hour for each, and v= vinyl t=treated and the coefficient in front of the v and t represents the hours needed for each.

Answer:

5x+2y = 50

1x+2y = 30

Step-by-step explanation:

For the first equation,

5x represents the 5 hours it takes to build each vinyl doghouse multiplied by the number of vinyl doghouses.

2y represents the 2 hours it takes to build each treated lumber doghouse multiplied by the number of treated lumber doghouses.

Together the company uses 50 hours for this; this gives us the equation

5x+2y = 50.

For the second equation,

1x represents the 1 hour it takes to assemble each vinyl doghouse multiplied by the number of vinyl doghouses.

2y represents the 2 hours it takes to paint each treated lumber doghouse multiplied by the number of treated lumber doghouses.

Together the company gives 30 hours for this; this gives us the equation

1x+2y = 30.

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