Question

The line ${\displaystyle \frac{3+5\text{y}}{2}=\frac{4\text{x}-7}{3}}$ passes through the point ( 1, k). find the value of k

Answer 1

The line ${\displaystyle \frac{3+5\text{y}}{2}=\frac{4\text{x}-7}{3}}$ passes through the point ( 1, k).

( 1,k) will satisfy the equation of line

${\displaystyle \frac{3+5\text{k}}{2}=\frac{4\left(1\right)-7}{3}}$

⇒ 9 + 15k = 6

⇒ 15k = -15

⇒  k = -1