Q. 34.0( 13 Votes )

# The path of a tra

Answer :

Given equations are 3x + 4y – 12 = 0 and 6x + 8y – 48 = 0

Let us plot the given equations. For this we will need some points to plot for the equation.**3 x + 4 y - 12 = 0**

4 y = 12 - 3 x

Now let us take random values of x and obtain the corresponding values of y by putting in the equation.

at x = 0,

4 y = 12 - 3 x 0

4 y = 12

y = 3

Now at y = 0,

3 x + 4 x 0 = 12

3 x = 12

x = 4

So we have two points for the equation 3 x + 4 y - 12 = 0 and those are (0, 3) and (4, 0)

6 x + 8 y - 48 = 0

Now let us find points for this equation

at x = 0,

6 x 0 + 8 y = 48

8 y = 48

y = 6

at y = 0,

6 x + 8 x 0 = 48

6 x = 48

x = 8

So we have two points for the equation 6 x + 8 y - 48 = 0 and those are (8, 0) and (0, 6)

3x + 4y – 12 = 0 passes through (4, 0) and (0, 3)

6x + 8y – 48 = 0 passes through (8, 0) and (0, 6)

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