SOLUTION: y=x+5 and -3x+3y=15

Question 132477This question is from textbook Algebra 1
: y=x+5 and -3x+3y=15 This question is from textbook Algebra 1

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 15 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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