SOLUTION: Solve the system by graphing. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)
y = 2x − 7
x − 2y = ͨ
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Question 868806: Solve the system by graphing. (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, enter INFINITELY MANY.)
y = 2x − 7
x − 2y = −4
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
is a system of linear equations.
The graph of a linear equation is a straight line,
so to graph a linear equation all we need to do is plot two points,
and draw the line that goes through those two points.
Step 1: We graph each equation as a straight line.
Step 2: We look up the coordinates of the intersection point from the graph.
Step 3: We verify that those coordinates are a solution.
For :
--> gives us point (0,-7).
--> --> gives us point (5,3).
For :
--> --> gives us point (0,2).
--> gives us point (-4,0).
The lines seen to intersect at (6,5), ,
so we need to verify that those values satisfy the equations.
-->
So (6,5) or is the solution.
NOTE:
If the two lines had been parallel, there would be no solution.
If the two equation graphed as the same line, there would be infinitely many solutions.
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