SOLUTION: Hello, Please help solve 2x-5y=-3 y=-4x+1 Thank you

Algebra ->  Graphs -> SOLUTION: Hello, Please help solve 2x-5y=-3 y=-4x+1 Thank you       Log On


   

Question 124559: Hello,
Please help solve
2x-5y=-3
y=-4x+1
Thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given system
2x-5y=-3
y=-4x%2B1



2x-5%28-4x%2B1%29=-3 Plug in y=-4x%2B1 into the first equation. In other words, replace each y with -4x%2B1. Notice we've eliminated the y variables. So we now have a simple equation with one unknown.


2x%2B20x-5=-3 Distribute


22x-5=-3 Combine like terms on the left side


22x=-3%2B5Add 5 to both sides


22x=2 Combine like terms on the right side


x=%282%29%2F%2822%29 Divide both sides by 22 to isolate x



x=1%2F11 Reduce




Now that we know that x=1%2F11, we can plug this into y=-4x%2B1 to find y



y=-4%281%2F11%29%2B1 Substitute 1%2F11 for each x


y=7%2F11 Simplify


So our answer is x=1%2F11 and y=7%2F11 which also looks like