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Application of Graphs

Find the poin...

Question

Find the point of intersection of the straight-lines 3y + 4x = 7 and 4y + 3x = 7, by drawing their graphs and looking for the point where they meet.

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Solution

We first draw the graphs of and .

At x = 0:

At y = 0:

Thus, we can draw the graph as:

From the graph, we get the required point.

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Similar questions

Q. Draw the graphs of the equation

3 x + 4 y = 7

3 x - 2 y = 1

and find their point of intersection of lines representing the equation.

Q. Find the equation of the line passing through the points (2, 3) and the point of intersection of the lines

4 x - 3 y = 7

3 x + 4 y + 1 = 0

.

Q. The equation of the straight line passing through the point of intersection of the lines

x - y = 1

2 x - 3 y + 1 = 0

and parallel to the line

3 x + 4 y = 14

Q. The equation of the straight line passing through the point of intersection of

x + 2 y = 5

3 x + 7 y = 17

and perpendicular to the straight line

3 x + 4 y = 10

Q. The equation of the straight line perpendicular to

5 x - 2 y = 7

and passing through the point of intersection of the lines

2 x + 3 y = 1

3 x + 4 y = 6

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