SOLUTION: what are the steps and some example. For Soling systems of equations. like y+x=4 y=-4x+10

Algebra ->  Systems-of-equations -> SOLUTION: what are the steps and some example. For Soling systems of equations. like y+x=4 y=-4x+10      Log On


   

Question 104307: what are the steps and some example. For Soling systems of equations. like
y+x=4
y=-4x+10
Answer by elima(1433) About Me  (Show Source):
You can put this solution on YOUR website!
There are different ways to solve, by substitution, by graphing and by elimination;
I'll go ahead and solve by substitution;
You want to solve one of the equations for one of the variables and then substitute it in the other equation
y+x=4
y=-4x+10
We will solve the first equation for x;
y+x=4
x=4-y
Now substitute that for x in the second equation;
y=-4(4-y)+10
y=-16+4y+10
y-4y=6
-3y=6
y=-2
Now plug that into the first equation for y;
-2+x=4
x=4+2
x=6
Check;
-2+6=4
4=4
Hope you understand
:)