SOLUTION: Solve each of the following systems by substitution.
10. 8x – 4y = 16
y = 2x – 4
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Question 123355: Solve each of the following systems by substitution.
10. 8x – 4y = 16
y = 2x – 4
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
Simplify
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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