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Byju's Answer
Standard IX
Mathematics
Visualising Cartesian System in Two Dimensions
Express y in ...
Question
Express y in terms of x in the equation 2x − 3y = 12. Find the points where the line represented by the equations 2x − 3y = 12 cuts the x-axis and y-axis.
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Solution
We
have
,
2
x
-
3
y
=
12
⇒
3
y
=
2
x
-
12
⇒
y
=
2
x
-
12
3
Now
,
If
x
=
0
,
then
2
0
-
3
y
=
12
⇒
-
3
y
=
12
⇒
y
=
12
-
3
⇒
y
=
-
4
So
,
the
line
2
x
-
3
y
=
12
cuts
the
y
-
axis
at
0
,
-
4
.
Also
,
If
y
=
0
,
then
2
x
-
3
0
=
12
⇒
2
x
=
12
⇒
x
=
12
2
⇒
x
=
6
So
,
the
line
2
x
-
3
y
=
12
cuts
the
x
-
axis
at
6
,
0
.
Suggest Corrections
101
Similar questions
Q.
Represent the following pair of equations graphically and write the coordinates of points where the line intersects
y
-axis
x
+
3
y
=
6
2
x
−
3
y
=
12
Q.
Find the point where 2x-3y = 12 cuts the x axis
Q.
The line represented by
2
x
−
3
y
−
5
=
0
Find the co-ordinates of the point where the line cuts the
x
-axis.
Q.
Solve graphically each of the following systems of linear equations. Also, find the coordinates of the points where the lines meet the axis of x in each system.
(i) 2x + y = 6
x − 2y = −2
(ii) 2x − y = 2
4x − y = 8
(iii) x + 2y = 5
2x − 3y = −4
(iv) 2x + 3y = 8
x − 2y = −3