SOLUTION: It says use substitution to solve each system of equation The Problem is 0.5x-2y=17 2x+y=104

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Question 68657: It says use substitution to solve each system of equation
The Problem is
0.5x-2y=17 2x+y=104
Answer by rmromero(383) About Me  (Show Source):
You can put this solution on YOUR website!
Here are the Steps in solving systems of equation using Substition method
1. In either equation, solve for one variable in terms of the other.Using 2x+y=104, solve y in terms of x.

2x+y=104
y = -2x + 104


2. Substitute -2x + 104 for y in the other equation 0.5x-2y=17. Solve x.

0.5x-2(-2x+104)=17 
Apply distributive property to simplify the equation
0.5x - 2(-2x) - 2(104) = 17
0.5x + 4x - 208 = 17
4.5x - 208 = 17
4.5x = -225 
Divide both sides by 4.5 to solve for x
highlight+%28x+=+50%29


3. Substitute the result from step 2 in either equation. Solve for the other variable y.

 2x+y=104 , x = 50
2(50) + y = 104
100 + y = 104
highlight+%28y+=+4%29

4. Check the solution in both original equations.

2x+y=104 when x=50 and y=4
2(50) + 4 = 104
100 + 4 = 104
104 = 104 ----------->> True


0.5x-2y=17  when x=50 and y=4
0.5(50)-2(4)= 17  
25 - 8 = 17
17 = 17 --------->> True


Therefore the solution of the systems of equation is x = 50 and y = 4