Answer:
So, the solution to the system of linear equations {x + 3y = and 2x - y = 1 is:
x = 3/7 and y = -1/7.
Explanation:
To evaluate the given system of linear equations {x + 3y = and 2x - y = 1, we'll solve for the values of x and y that satisfy both equations.
First, we can solve the second equation for y:
2x - y = 1,
y = 2x - 1.
Now that we have the expression for y in terms of x, we can substitute this into the first equation:
x + 3(2x - 1) = 0,
x + 6x - 3 = 0,
7x = 3,
x = 3/7.
Now that we have the value of x, we can find the corresponding value of y using the expression we found earlier:
y = 2(3/7) - 1,
y = -1/7.
So, the solution to the system of linear equations {x + 3y = and 2x - y = 1 is:
x = 3/7 and y = -1/7.