Solve the following system of linear equations using substitution or elemination:

2x=4y+6

7+x=-3y

2x = 4y + 6

7 + x = - 3y

Solve for 'x' in the first equation.

2x = 4y + 6

x = 2y + 3

Substitute the first equation into the second equation.

x = 2y + 3

7 + x = - 3y

7 + 2y + 3 = - 3y

2y + 10 = - 3y

5y + 10 = 0

5y = - 10

y = - 2

Plug y = - 2, and solve for x

7 + x = - 3 (-2)

7 + x = 6

x = - 1

The solution to the system of linear equations is (-1,-2).