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Byju's Answer
Standard X
Mathematics
Linear Equations in Two Variables
If x +3y =6 a...
Question
If
x
+
3
y
=
6
and
2
x
−
3
y
=
12
intersect, what is the value of x?
6
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Solution
The correct option is
A
6
Given:
x
+
3
y
=
6
and
2
x
−
3
y
=
12
Now,
Equation 1:
x
+
3
y
=
6
x
y
0
2
6
0
Equation 2:
2
x
−
3
y
=
12
x
y
0
-4
6
0
Plotting the points and draw the lines on the graph:
From the graph, lines intersect at (6, 0). So, the value of x is 6.
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Similar questions
Q.
If
x
+
3
y
=
6
and
2
x
−
3
y
=
12
intersect, what is the value of x?
Q.
What is the value of x if the pair of linear equation
x
+
3
y
=
6
and
2
x
−
3
y
=
12
intersect at a point?
Q.
If x + 3y = 6 and 2x - 3y = 12, then the value of
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Q.
If
4
x
+
3
y
=
12
and
2
x
−
3
y
=
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find the value of
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Solve graphically:
x
+
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y
=
6
and
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+
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y
=
12
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