Question

which is a solution of the equation y=4x+3? is the answer (5,17) or (17,5) or (4,19) or (4,16)?

Answer 1

ur answer (4 19)
$y = 4x + 3 \\ putiing \: value \\ x = 4 \: and \: y = 19 \\ now \\ 19 = 4 \times 4 + 3$

Answer 2

Given:

An equation of a line, y = 4x + 3,

To Find:

Which of the following point lies on the given line?

1. (5,17) 2. (17,5) 3. (4,19) 4. (4,16)

Solution:

The given problem can be solved using the properties of 2D coordinate geometry.

1. The given line equation is y = 4x +3,

=> For a point to lie on the line, the values after substitution must be the same on LHS and RHS.

Option 1: (5, 17)

=> 15 = 4 x 5 + 3,

=> 15 = 23 (Incorrect equality, hence incorrect option).

Option 2: (17, 5)

=> 5 = 4 x 17 + 3,

=> 5 = 84 (Incorrect equality, hence incorrect option).

Option 3: (4, 19)

=> 19 = 4 x 4 + 3,

=> 19 = 19. (Equality is mathced, hence this point lies on the given line).

Option 4: (4, 16)

=> 14 = 4 x 4 + 3,

=> 14 = 19. (Incorrect equality, hence incorrect option).

Therefore, Option 3 (4, 19) lies on the line y = 4x + 3.