Question

Find the value of D_x for the equation 4x + 3y = 19 and 4x – 3y = –11.

Options

• 24

• 0

• –24

• 108

Answer 1

–24

Explanation:

Here, a₁ =  4, b₁ = 3, c₁ = 19

a₂ = 4, b₂ = –3, c₂ = –11

∴ D_x = `|(c_1, b_1),(c_2, b_2)|`

= `|(19, 3),(-11, -3)|`

= –57 + 33

= –24