Question

1. For what value of “k” will the equations x + 2y = - 7 and 2x + ky + 14 0 represent parallel line​

Answer 1

Answer:

4

Step-by-step explanation:

For parallel lines, all coefficients musy be in the same ratio

$x+2y+7=0\\2x+ky+14=0\\\frac{1}{2}=\frac{2}{k}=\frac{7}{14}\\k=4$

Answer 2

Answer:

k=4

Step-by-step explanation:

Condition for parallel lines

a₁ / a₂ = b₁ /b₂ = c₁ / c₂

( where a₁ is cofficient of x, b₁ is cofficient of y, c₁ is constant term of eqⁿ (i) where a₂ is cofficient of x, b₂ is cofficient of y,c₂ is constant term of eqⁿ (ii)

so,

1/2=2/k=7/14

∴ k=4 ⇒ ANSWER

HOPE IT HELPS YOU...........