SOLUTION: 1. Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables
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-> SOLUTION: 1. Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables
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Question 296817: 1. Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables
The perimeter of a rectangle is 45 cm. The length is 12 cm longer than the width. Find the dimensions
You can put this solution on YOUR website! 1. Translate the problem into a pair of linear equations in two variables. Solve the equations using either elimination or substitution. State your answer for both variables
The perimeter of a rectangle is 45 cm.
2L + 2W = 45
:
The length is 12 cm longer than the width.
L = W + 12
L - W = 12
:
Multiply the above equation by 2, and add to the 1st equation
2L - 2W = 24
2L + 2W = 45
---------------addition eliminates W, find L
4L = 69
L =
L = 17.25 cm is the length
then
W = 17.25 - 12
W = 5.25 cm is the width
:
:
Check solutions:
2(17.25) + 2(5.25) =
34.5 + 10.5 = 45
