Draw the graph of linear equation 3x-2y+6=0 and x+2y-6=0 on the same graph. Find tgeir common solution.
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Answers
Answer:
x=0 and y=3 is the solution of the system of equations 3x-2y+6=0 and x+2y-6=0 .
Explanation:
Draw the line 3x-2y+6=0 on the graph:
1. convert the equation 3x-2y+6=0 in the form of x= (2y-6)/3,
2.Now for different values of y find the values of x,
Y X
0 -2
1 -4/3
2 -2/3
3 0
3.Now put the values on the graph.
4. Draw a line joining all the points to form the equation 3x-2y+6=0
Draw the line x+2y-6=0 on the graph:
1. convert the equation x+2y-6= 0 in the form of x=6-2y
2..Now for different values of y find the values of x,
Y X
0 6
1 4
2 2
3 0
3.Now put the values on the graph.
4.4. Draw a line joining all the points. to form the equation x+2y-6=0.
It is very evident from the graph that both the equations will intersect at x=0 and y=3 therefore x=0 and y=3 is the solution of the system of equations 3x-2y+6=0 and x+2y-6=0 .