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).