Question

How to simplify y-5=-13/6(X-1) step by step please

Answer 1

$y-5= \frac{-13}{6(x-1)}$

Refine $y-5 = - \frac{13}{6(x-1)}$

Expand $- \frac{13}{6(x-1)} = - \frac{13}{6x-6}$

Multiply both sides by 6 x - 6

(6x-6)y -(6x-6)5 = - (6x-6)$\frac{13}{6x-6}$

Refine:

(6x-6)y - (6x-6)5 = 13

6xy - 6y - 30 x + 30 = - 13

6xy - 6y -30x + 30 + 30 x = -13+30x

6xy - 6y + 30 = -13+30x

6xy - 6y +30-30 = - 13 + 30 x -30

6xy - 6y = 30 x - 43

take out y :

y(6x-6) = 30 x - 43

Divide both sides by 6x - 6 :

$\frac{y(6x-6)}{6x-6} = \frac{30x-43}{6x-6}$

$y = \frac{30x-43}{6x-6}$

hope this helps!