SOLUTION: 8x-4y=16
y=2x-4
Solve by substition
4y=8x-16
divide both sides by 4y
y=8x-16/4
y=8x/4+16/4
y=4x/2+16/4
reduce
y=2x+4
Upon plugging top equation of y into bottom e
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Question 126656This question is from textbook Beginning Algebra
: 8x-4y=16
y=2x-4
Solve by substition
4y=8x-16
divide both sides by 4y
y=8x-16/4
y=8x/4+16/4
y=4x/2+16/4
reduce
y=2x+4
Upon plugging top equation of y into bottom equation, I became confused I came up with
y=2x-4 and y=2x+4
I must have done something wrong along the line
This question is from textbook Beginning Algebra
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given system
Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.
Distribute
Combine like terms on the left side
Subtract 16 from both sides
Combine like terms on the right side
Since this equation is always true for any x value, this means x can equal any number. So there are an infinite number of solutions.
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