Question

how do you do the linear equation y + 9 =1/5x and 45 - 3y = 15x

Answer 1

45 - 3 y = 15 x Divide both sides by 3

15 - y = 5 x Subtract 15 to both sides

- y = 5 x - 15 Multiply both sides by - 1

y = - 5 x + 15


y + 9 = ( 1 / 5 ) x

- 5 x + 15 + 9 = x / 5

- 5 x + 24 = x / 5 Subtract x / 5 to both sides

- 5 x + 24 - x / 5 = 0 Subtract 24 to both sides

- 5 x - x / 5 = - 24

- 25 x / 5 - x / 5 = - 24

- 26 x / 5 = - 24 Multiply both sides by 5

- 26 x = - 120 Divide both sides by - 26

x = - 120 / - 26

x = ( - 2 * 60 ) / ( - 2 * 13 )

x = 60 / 13


y = - 5 x + 15

y = - 5 * 60 / 13 + 15

y = - 300 / 13 + 15

y = - 300 / 13 + 195 / 13

y = - 105 / 13


Solutions :

x = 60 / 13

y = - 105 / 13