2x + 3y = 6

-5x+2y = 4

X = 0

y = 2

2x + 3y = 6

-5x + 2y = 4

Multiply the first equation by 2

(2x + 3y = 6) 2 =

4x + 6y = 12

Then multiply the 2nd equation by - 3

(-5x + 2y = 4) - 3

That equals

15x - 6y = - 12

Then add the two equations together

4x + 6y = 12

15x - 6y = - 12

That equals

4x = 0

Balance

x = 0

Now let's plug x into the first equation

2 (0) + 3y = 6

That equals

3y = 6

Balance

y = 2

X=0

Y=2

Multiply the first numbers by 0, then the second numbers by 2.