SOLUTION: solve the equation by graphing. y=2x+1 , x+2y=7 ~thank you so much

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-> SOLUTION: solve the equation by graphing. y=2x+1 , x+2y=7 ~thank you so much

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Question 458882

:

solve the equation by graphing. y=2x+1 , x+2y=7

~thank you so much

Answer by

richwmiller(17219)

(

Show Source

):

You can

put this solution on YOUR website!

Solved by

pluggable

solver:

Solve the System of Equations by Graphing

Start with the given system of equations:

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

Start with the given equation

Subtract

from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets graph

(note: if you need help with graphing, check out this

solver

)

Graph of

So let’s solve for y on the second equation

Start with the given equation

Add

to both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets add the graph of

to our first plot to get:

Graph of

(red) and

(green)

From the graph, we can see that the two lines intersect at the point (

,

) (note: you might have to adjust the window to see the intersection)