Question

Solve the system of equations.

2x + 3y = 6
x + y = 4

Answer 1

\[x+y=4\implies 2x+2y=8\implies y=-2\implies x-2=4\implies x=6\]

Answer 2

from second equation u get x = 4-y
put this is first equation
2(4-y) + 3y = 6
8 - 2y + 3y = 6
y = 6-8
y = -2

Put y = -2 in second equation x + y = 4
x + (-2) = 4
x-2 = 4
x = 4+2
x = 6

solutions (6,-2)