SOLUTION: The sum of the two non right angles in a right triangle is, of course, 90 .If twice the first is 40 more than 3 times the second find the angles. pls help me to solve this one t

Algebra ->  Linear-equations -> SOLUTION: The sum of the two non right angles in a right triangle is, of course, 90 .If twice the first is 40 more than 3 times the second find the angles. pls help me to solve this one t      Log On


   

Question 209799This question is from textbook ALGERA
: The sum of the two non right angles in a right triangle is, of course, 90 .If twice the first is 40 more than 3 times the second find the angles.
pls help me to solve this one
thank you very much for your help This question is from textbook ALGERA

Answer by tutor_paul(519) About Me  (Show Source):
You can put this solution on YOUR website!
This is a problem where you have 2 unknowns. You need to develop 2 equations containing these unknowns. Then you can solve the problem.
---------
Let x = Angle #1
Let y = Angle #2
You already developed one equation:
Equation #1: x%2By=90
Now you need to use the information given to develop the second equation.
Equation #2: 2x=3y%2B40
Now you have 2 equations and 2 unknowns. Anytime you have at least as many equations as unknowns, you can solve the problem!
---------
use the substitution method to solve the equations:
First, solve for y in Equation #1:
x%2By=90
y=90-x
Next, substitute this expression for y into Equation #2.
2x=3y%2B40
2x=3%2890-x%29%2B40
Sole for x:
2x=270-3x%2B40
5x=310
highlight%28x=62%29
Finally, substitute this expression for x into Equation #1 and solve for y.
x%2By=90
62%2By=90
highlight%28y=28%29
=============
Good Luck,
tutor_paul@yahoo.com