SOLUTION: how do you solve this equation by graphing x-y=3 x+y=5

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Question 223154: how do you solve this equation by graphing
x-y=3
x+y=5
Answer by drj(1380) About Me  (Show Source):
You can put this solution on YOUR website!
How do you solve this equation by graphing

x-y=3
x+y=5

Step 1. Plot the above equation using the slope intercept form given as y=mx+b where m is the slope and b is the y-intercept when x=0 or at point (0,b).

Step 2. Put x-y=3 in slope intercept form or y=x-3 where we added y-3 to both sides of the equation. Here the slope m=1 and b=-3.

Step 3. Put x+y=5 in slope intercept form where y=-x+5 where we added -x to both sides of the equation. Here the slope is m=-1 and b=5.

graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C+x-3%2C+-x%2B5%29

Step 4. ANSWER: Based on the above graph, the two lines intersect at point (4,1) or x=4 and y=1.

We can check by substituting in the original equations:

x-y=3 or 4-1=3 which is a true statement

x%2By=5 or 4%2B1=5 which is also a true statement.

So the point (4,1) is a solution to the system of equations.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J