Question

Express x in terms of y , it is being given that 7x – 3y=15. Check if the line represented by the
given equation intersects the y– axis at y=–5.

Answer 1

Putting the value of y in the equation we get,
7x-3(-15)=15
7x+15=15
7x=0
X=0

Answer 2

Given:

$7x-3y=15$

To find:

Express x in terms of y and check that the given equation intersects the y-axis at y=-5

Solution:

$7x-3y=15$

$7x=15+3y$

$x=\frac{1}{7}(15+3y)$

Substitute y=-5

$7x-3(-5)=15$

$7x+15=15$

$7x=15-15=0$

$x=\frac{1}{7}(0)=0$

Hence, the given equation intersects the y-axis at y=-5.