Question

solve 5x-3y=19, x-6y= -7

Answer 1

Answer:

Step-by-step explanation:

5x - 3y = 19

⇒ 5x = 19 + 3y

⇒ x = ( 19 + 3y ) / 5

Substituting this in the second equation we get,

⇒ x - 6y = -7

⇒ 19 + 3y / 5 - 6y = 7

Taking LCM we get,

⇒ 19 + 3y - 30y / 5 = -7

⇒ 19 - 27y = -35

⇒ 35 + 19 = 27y

⇒ 54 = 27y

⇒ y = 54 / 27 = 2

Substituting y in the value of x we get,

⇒ x = 19 + 3y / 5

⇒ x = 19 + 3 ( 2 ) / 5

⇒ x = 19 + 6 / 5 = 25 / 5 = 5

Hence the value of x is 5 and y is 2.

Hope it helped !!

Answer 2

Answer:

Step-by-step explanation:

5x-3y = 19 (eq 1)

X-6y=-7 ( eq 2)

Using elimination method

Making coefficient same of x

By multiplying (eq 2)by 5

5x-30y=-35 (eq 3 )

Eliminatinflg eq 1 from eq 3

5x-30y=-35

5x-3y=19

-27y=-54

Y=2

: x=5