Solve the system of equations
3x + 6y = 21
-5x + 2y = 13
Let's use the method of substitution to solve this system of equations.
From the first equation:
3x + 6y = 21
Solve for x:
3x = 21 - 6y
x = (21 - 6y) / 3
x = 7 - 2y
Now, substitute x = 7 - 2y into the second equation:
-5(7 - 2y) + 2y = 13
-35 + 10y + 2y = 13
12y = 48
y = 4
Now, substitute y = 4 back into x = 7 - 2y:
x = 7 - 2(4)
x = 7 - 8
x = -1
Therefore, the solution to the system of equations is:
x = -1, y = 4