Question

Solve this equation using any method but if possible please show most of your work.
2x+y=3
2y-5=-3-6x

Answer 1

put into matrix [2 1;6 2]=[3;2] and solve

Answer 2

y=3-2x
2(3-2x)-5=-3-6x
1-4x=-3-6x
4=-2x
x=-2

y=3-2(-2)
y=7

Answer 3

y=3-2x ...(1)
2y-5=-3-6x ..(2)
(1) substitute to (2)
2(3-2x)-5 = -3-6x
6-4x-5 =-3-6x
6x-4x=-3-6+5
2x=-4
x=-2
substitue to (1)
y=3-2(-2)
=3+4=7

Answer 4

2x+y=3
6x+2y=2

Multiply the first one by 2 or by 3 and subtract it from the second one.
gives 2x = -4 and x= -2 then sub back for y.