Hello!
4x - 9y = 20
2x - 6y = 16
You first need one of the variables have the same coefficient
We can do this by multiplying the second equation by 2
4x - 12y = 32
Subtract the equations to get rid of x
4x - 9y = 20
4x - 12y = 32
3y = -12
Divide both sides by 3
y = -4
Put y into one of the original equations
2x - 6(-4) = 16
Multiply
2x - -24 = 16
We you subtract a negative it is the same as addding
2x + 24 = 16
Subtract 24 from both sides
2x = -8
Divide both sides by 2
x = -4
The answers are x = -4 and y = -4
Hope this helps!