The solution to the system of equations is: x = -6, y = 1 .
Here is the solution and explanation:
Given the system of equations:
y = 2/3x + 5
x + 3y = -3
We can solve for x and y using the following steps:
Solve for x in terms of y from the second equation:
x + 3y = -3
x = -3 - 3y
Substitute this expression for x in the first equation:
y = 2/3 * (-3 - 3y) + 5
y = -2 - 2y + 5
Simplify and solve for y:
3y = 3
y = 1
Substitute y back into the second equation to solve for x:
x + 3 * 1 = -3
x = -6
Therefore, the solution to the system of equations is:
x = -6
y = 1