Question

6x+8y=4
8x-3y=19

Answer 1

48x+64y=32
-48x+82y=-14
82=-82
y=-1
6x+8y=4
6x+8(-1)=4
6x-8=4
6x=4-8
6x=12
X=2

Answer 2

Correct answer.

But

82=-82 Isn't correct.

Least Common Denominator of 6 and 8 is 24, not 48.

6 x + 8 y = 4 Multiply both sides by 4

24 x + 32 y = 16


8 x - 3 y = 19 Multiply both sides by - 3

- 24 x + 9 y = - 57



24 x + 32 y = 16
+
- 24 x + 9 y = - 57
___________________

41 y = - 41

y = - 1


6 x + 8 y = 4

6 x + 8 * ( - 1 ) = 4

6 x - 8 = 4


6 x = 4 + 8

6 x = 12

x = 2

Answer 3

82y=-82