Question

Determine the x coordinate of point which lies on the line represented by 5x-y-7=0 and whose y coordinate is 13

Answer 1

Answer:

5x-y=7

5x-13=7

5x=7+13

5x=20

x=4

Answer 2

The x coordinate of the point is 4

Given :

A point which lies on the line represented by 5x - y - 7 = 0 and whose y coordinate is 13

To find :

The x coordinate of the point

Solution :

Step 1 of 2 :

Write down the given equation of the line

Here the given equation of the line is

5x - y - 7 = 0

Step 2 of 2 :

Find x coordinate of the point

Let x coordinate of the point = h

Since y coordinate is 13

∴ The point is (h , 13)

Now the point (h , 13) lies on the line 5x - y - 7 = 0

Thus we get

$\displaystyle \sf (5 \times h) - 13 - 7 = 0$

$\displaystyle \sf{ \implies }5h - 20 = 0$

$\displaystyle \sf{ \implies }5h = 20$

$\displaystyle \sf{ \implies }h = \frac{20}{5}$

$\displaystyle \sf{ \implies }h = 4$

Hence x coordinate of the point is 4

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