Solve the following system of equations:
−2x + 3y = 5
y = 3x + 4
Substitute the second equation into the first equation for y:
-2x + 3(3x + 4) = 5
Simplify and solve for x:
7x + 12 = 5
7x = -7
x = -1
Now substitute x = -1 into one of the original equations (let's use the second one) and solve for y:
y = 3(-1) + 4
y = 1
Therefore, the solution to the system of equations is x = -1 and y = 1.