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Question 67653: x+5y=28
-x-2y=-13
Answer by rmromero(383)   (Show Source):
You can put this solution on YOUR website! x+5y=28
-x-2y=-13
Here are the Steps using Substition method
1. In either equation, solve for one variable in terms of the other.
2. Substitute for that variable in the other equation. Solve.
3. Substitute the result from step 2 in either equation. Solve for the other variable.
4. Check the solution in both original equations.
Step 1: We are going to choose one equation. Let say x + 5y = 28. We are going to solve x in terms of y ---> x = -5y + 28
Step 2: Restate the other equation -x - 2y = -13 by subtituting -5y +28 for x and then solve for y.
-(-5y +28) - 2y = -13 distribute the negative sign to -5y and 28
5y - 28 - 2y = -13 combine like terms 5y and -2y
3y - 28 = -13 add 28 both sides
3y = 15 divide both sides by 3
y = 5
Step 3: Substitute y = 5 to either equation then solve for x.
x + 5y = 28
x + 5(5) = 28
x + 25 = 28
x + 25 - 25= 28 - 25 add -25 both sides
x = 3
Step 4 : checking.
Substitute the result to both equations.
-x -2y = -13 , x = 3 and y = 5
-3 -2(5) = -13
-3 -10 = -13
-13 = -13 true
x + 5y = 28 , x= 3 and y = 5
3 + 5(5) = 28
3 + 25 = 28
28 = 28 true
so therefore your results are correct x = 3 and y = 5
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