Question

What is the x-intercept of the equation 7x + 3y = 21?

(0, 3)

(0, 7)

(3, 0)

(7, 0)

Answer 1

HEY BUDDY !!

HERE'S THE ANSWER..

_______________________________

♠️ From the given question it is clear that point is on x - axis , that means y will be 0

✔️ 7 x + 3 y = 21

▶️ Now converting this eqn in form of

♠️ y = m x + c ______( 1 )

⏺️m is slope of straight line

⏺️c is intercept

=> 7 x + 3 y = 21

=> 3 y = - 7 x + 21

=> y = ( - 7 x / 3 ) + 21 / 3

=> y = ( - 7 x / 3 ) + 7 ________( 2 )

⏺️ Now compared Eqn 1 and 2

✔️ Slope is -7 / 3

✔️ Intercept is 7

♠️ Points of intercept at x - axis is ( 7 , 0 )

▶️ Hence 4th option is correct.

HOPE HELPED..

$\large{ JAI \:HIND }$

:)