if we plot graph of 3x-2y=5 and 6x-4y=7 then the lines will
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Draw the graph of the equation 3x−2y=4 and x+y−3=0
On the same graph paper, find the coordinates of the point where the two graph lines intersect.
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It is given
3x−2y=4
We can also write it as
2y=3x−4
y=
2
3x−4
Substituting x=2 in the given equation
y=
2
3(2)−4
So we get
y=
2
6−4
y=
2
2
By division
y=1
Substituting x=−2 in the given equation
y=
2
3(−2)−4
So we get
y=
2
−6−4
y=
2
−10
By division
y=−5
x 2 -2
y 1 -5
Now draw a graph using the points A(2,1) and B(-2,-5)
Join the points AB through a line and extend in both the directions
It is given
x+y−3=0
We can also write it as
y=3−x
Substituting x=1 in the given equation
y=3−1 So we get
y=2
Substituting x=−1 in the given equation
y=3−(−1)
So we get
y=4
x 1 -1
y 2 4
Now draw a graph using the points C(1,2) and D(−1,4)
Join the points CD through a line and extend in both the directions.
Therefore the coordinates of the point where the two graph lines intersect is A(2,1)
Answer:
X=1,-1
y=2,4
the coordinates of 1,-1 and 2,4 lies on graph quadrant 4 and quadrant 1.
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