SOLUTION: Could someone please show me step by step how to solve the system of equations by graphing then to classify the system? x + y =9 x

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Question 435120: Could someone please show me step by step how to solve the system of equations by graphing then to classify the system?
x + y =9
x - y = -5
Found 2 solutions by stanbon, mananth:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
solve the system of equations by graphing then to classify the system?
x + y =9
x - y = -5
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Solve each equation for "y":
y = 9-x
y = x+5
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Note: the slopes are different so the system is consistent;
the equations are independent.
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Graph each line on the same axis and find the point of intersection.
(2,7)
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Cheers,
Stan H.
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Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
1 x + 1 y = 9 .............1
1 x + -1 y = -5 .............2
Eliminate y
multiply (1)by 1
Multiply (2) by 1
1 x + 1 y = 9
1 x + -1 y = -5
Add the two equations
2 x = 4
/ 2
x = 2
plug value of x in (1)
1 x + 1 y = 9
2 + 1 y = 9
1 y = 9-2
1 y = 7
y = 7
Find the x & y intercepts of the two lines. Plot the points. Draw the lines. The point of intersection is the solution

SOLUTION: Could someone please show me step by step how to solve the system of equations by graphing then to classify the system? x + y =9 x - y = -5