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Question 999991: Hello, Iam trying to show
the work for system of equations by the substitution method, can you help please? Here are the two equations.
4x+y=11
2x+5y=1
Found 4 solutions by mananth, MathTherapy, ikleyn, timofer:
Answer by mananth(16949)   (Show Source):
Answer by MathTherapy(10806)  (Show Source):
You can put this solution on YOUR website!
Hello, Iam trying to show
the work for system of equations by the substitution method, can you help please? Here are the two equations.
4x+y=11
2x+5y=1
4x + y = 11______y = 11 - 4x -------- eq (i)
2x + 5y = 1 ------- eq (ii)
1) Substitute 11 - 4x for y in eq (ii) to determine value of x
2) Substitute value for x into either eq (i) or eq (ii) to determine value of y
You should get: 
Answer by ikleyn(53751)  (Show Source):
You can put this solution on YOUR website! .
Hello, Iam trying to show
the work for system of equations by the substitution method, can you help please? Here are the two equations.
4x+y=11
2x+5y=1
~~~~~~~~~~~~~~~~~~~~~~~~~
The solution in the post by @mananth is incorrect due to an arithmetic error.
I came to bring a correct solution.
From the first equation, express
4x + y = 11,
express y = 11 - 4x and substitute it into the second equation
2x + 5(11-4x) = 1.
This is an equation for single variable 'x'. Simplify and find 'x'.
2x + 55 - 20x = 1
-18x = -54
x = -54/-18
x = 3
plug x= 3 in y = 11 - 4x
y = 11 - 4*3
y = -1
ANSWER. x = 3, y = -1.
You may check that this answer is correct by substituting the values into original equations.
Solved correctly.
Answer by timofer(155)  (Show Source):
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