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After a snowstorm, Mandy and Jack decided to help out their neighbors by shoveling the driveways in their neighborhood. Mandy shoveled two times as many driveways than Jack. Together they shoveled a total of 57 driveways. How many driveways did each of them shovel? You must use the substitution method to solve this system of equations.

 

Equation 1:_________

Equation 2:_________

 Dec 16, 2020
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m = 2j

j+m = 57       substitute first equation into second one

 

j + 2j = 57

3j = 57

j = 19

               then, since    m = 2j    = 38                  check:   38 + 19 = 57   correct !

 Dec 16, 2020

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