3x-6y=27 and 6x+9y=-30 solve this system of linear equations

x = 1 and y = - 4

Step-by-step explanation:

3x-6y=27

3 (x-2y) = 27

divide both sides by 3

x-2y=9 - >eq 1

6x+9y=-30

3 (2x+3y) = -30

divide both sides by 3

2x+3y=-10 - >eq 2

multiply eq 1 by 2

2x-4y=18 - > eq 3

now subtract eq 3 from eq 2

2x + 3y = - 10

± 2x + 4y = ±18 (-4y becomes + 4y after changing sign due to subtraction)

7y = - 28

y = - 4 by dividing 7 on both sides

put value of y in eq 1

x-2 (-4) = 9

x+8=9

x = 9 - 8

x = 1