You can use systems of linear equations to solve word problems. First, define variables. Then model the situation with a system of linear equations.

preprekomW

preprekomW

Answered question

2021-09-25

You can use systems of linear equations to solve word problems. First, define variables. Then model the situation with a system of linear equations. The difference between the measures of two complementary angles is 36∘. Find both angle measures.

Answer & Explanation

comentezq

comentezq

Skilled2021-09-26Added 106 answers

Let x= the first angle
Let y = the second angle
The difference between the measures of two complementary angles is 36°
x-y= 36
Two angles are complementary if the sum of their measures is 90°
x+y=90
Step 1: Eliminate y because the sum of the coefiicients of y is zero.
x-y= 36
x+y=90
2x+0=126 Addition Property of Equality
x=63 Solve for x
Step 2: Solve for the eliminated variable y using either of the original equations
x+y=90 `Choose the first equation
63+y=90 Substitute 63 for x
y=27 Subtract 63 from both sides
The measures of the angles are 63°, 27°

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