The larger piece is 33 inches long and smaller piece is 11 inches long.
Step-by-step explanation:
Given,
Length of board = 44 inches
Let,
Length of larger piece = x
Length of smaller piece = y
According to given statement;
x+y=44 Eqn 1
x = 3y Eqn 2
Putting value of x from Eqn 2 in Eqn 1
[tex]3y+y=44\\4y=44[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{44}{4}\\y=11[/tex]
Putting y=11 in Eqn 2
[tex]x=3(11) \\x=33[/tex]
The larger piece is 33 inches long and smaller piece is 11 inches long.
Keywords: linear equation, substitution method
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