SOLUTION: I don't understand how to tackle this problem. It says to solve the system of equations BY graphing(?) 4x - y =-4 x - 2y =6

Algebra ->  Graphs -> SOLUTION: I don't understand how to tackle this problem. It says to solve the system of equations BY graphing(?) 4x - y =-4 x - 2y =6       Log On


   

Question 1007821: I don't understand how to tackle this problem. It says to solve the system of equations BY graphing(?)
4x - y =-4
x - 2y =6
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

4x+-+y+=-4
x+-+2y+=6
Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:


4x-y=-4

1x-2y=6





In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


4x-y=-4 Start with the given equation



-y=-4-4x Subtract 4+x from both sides



-y=-4x-4 Rearrange the equation



y=%28-4x-4%29%2F%28-1%29 Divide both sides by -1



y=%28-4%2F-1%29x%2B%28-4%29%2F%28-1%29 Break up the fraction



y=4x%2B4 Reduce



Now lets graph y=4x%2B4 (note: if you need help with graphing, check out this solver)



+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+4x%2B4%29+ Graph of y=4x%2B4




So let's solve for y on the second equation


1x-2y=6 Start with the given equation



-2y=6-x Subtract +x from both sides



-2y=-x%2B6 Rearrange the equation



y=%28-x%2B6%29%2F%28-2%29 Divide both sides by -2



y=%28-1%2F-2%29x%2B%286%29%2F%28-2%29 Break up the fraction



y=%281%2F2%29x-3 Reduce





Now lets add the graph of y=%281%2F2%29x-3 to our first plot to get:


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+4x%2B4%2C%281%2F2%29x-3%29+ Graph of y=4x%2B4(red) and y=%281%2F2%29x-3(green)


From the graph, we can see that the two lines intersect at the point (-2,-4) (note: you might have to adjust the window to see the intersection)