Solve the system: x + 2y = 3 and 4x + y = 19
To solve the system of equations, we can use the method of substitution. We solve one equation for one variable and substitute it into the other equation.
From the first equation, we can solve for x:
x = 3 - 2y
Now, substitute x = 3 - 2y into the second equation:
4(3 - 2y) + y = 19
12 - 8y + y = 19
12 - 7y = 19
-7y = 7
y = -1
Substitute y = -1 into x = 3 - 2y:
x = 3 - 2(-1)
x = 3 + 2
x = 5
Therefore, the solution to the system of equations is x = 5 and y = -1.