using the elimination method solve 6=6x+6y and -14y=18x+14

Question

help me solve step by step

Answer 1

Elimination method

Given equation 6 = 6x+6y

Muliple to each side by 3.

18x+18y = 18 ---------> (1)

And -14y = 18x+14

Subtract 18x from each side.

-14y-18x = 18x-18x +14

-18x-14y = 14 ---------> (2)

To eliminae he x value add the equations (1) and (2).

18x+18y = 18

-18x-14y = 14

____________

4y = 32

Divide to each side by 4

4y/4 = 32/4

⇒ y = 8

Substitute he y value in (1).

18x+18*8 = 18

18x+144 = 18

 Subtract 144 from each side.

18x+144-144 = 18-144

18x = -126

Divide to each side by 18 .

18x/18 = -126/18

⇒ x = -7

Solution is x = -7, y = 8.