SOLUTION: Here is the problem 11. x + y = 5 x-y = 1 I understand how they got the point on the graph. What I don't understand is how they got this answer. (3,2)

Question 121261: Here is the problem
11. x + y = 5
x-y = 1
I understand how they got the point on the graph. What I don't understand is how they got this answer. (3,2)

Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

��..(1)
��..(2)

Solve this system:

��..(1)� =>�
��..(2)�substitute and find
��..(2)
�
��divide both sides by

��
=>�

So, the point is (,) and it is intersection of these two lines

here is the graph:

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

Subtract from 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)

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