SOLUTION: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. 5x - 2 = y y - 5x = 1 Here is what I put a

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this. 5x - 2 = y y - 5x = 1 Here is what I put a      Log On


   

Question 244772: Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
5x - 2 = y
y - 5x = 1
Here is what I put as my answer not sure if I did it right
5x-2=y
+2 +2
________
5x=y+2
________
5 5
x=y+2/5
y-5(y+2/5)=1
y-5y+10/5=1
y+5-5y+10/5=1
5*4y+15/5=1
4y+15=1
-15 -15
_______
4y=-14
_______
4 4
y=3.5 (3 1/2)
x=(3 1/2+2)/5
x=5 1/2/5
x= 11/10
I have another one if you don't mind also
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-0.9x + 0.8y = 14.6
-0.3x + 0.1y = 3.7
Here is what I put as an answer
-9x+8y=146
-3x+1y=37
__________
-27x-24y=438
+27x+9y=338
____________
15y=100
________
15 15
y=6 1/3
-9x+8*19/3=146
8/1*19/3=152/3
9x+152/3=146
-152/3 -152/3
________________
-9x=286/3
__________
-9 -9
x=286/3/9
x=286/27
Please respond ASAP
Answer by MRperkins(300) About Me  (Show Source):
You can put this solution on YOUR website!
Solve using the substitution method. Show your work. If the system has no solution or an infinite number of solutions, state this.
1.
5x - 2 = y
y - 5x = 1
Substitute 5x-2 in for y in the second equation
so
5x-2-5x=1
5x-5x is 0 so you are left with -2=1, since this is not true, then there is no solution.
2.
x=y+2/5
y-5(y+2/5)=1
y-5y+10/5=1 This should be y-5y-10%2F2=1 because -5 is distributed to both terms (not -5 to the first term and +5 to the second term) also, 10/2 is just 5, so the next step I will write it that way.
-4y-2=1 Combine y values
+2_______+2
-4y=3
y=-3/4 (divide both sides by -4)
so now insert this into x=y+2/5 to find x x=-3%2F4%2B2%2F5 get a common denominator and you get x=-15%2F20%2B8%2F20=-7%2F20
check your answer by inserting these values into your original equations.
I have another one if you don't mind also
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
-0.9x + 0.8y = 14.6
-0.3x + 0.1y = 3.7
Here is what I put as an answer
-9x+8y=146
-3x+1y=37
__________
-9x+8y=146
+9x-3y=-111
____________
5y=35
________
5 5
y=7
-3x+7=37
-3x=30
x=-10
So y=7 and x=-10
Plug these in and check them