Question

Which point is a solution of the system of linear equations? x − 3y = −4 y = −3x − 2

Answer 1

Answer: The solution to the system of linear equations is (x, y) = (-1, 1).

Explanation:

To find the solution to the system of linear equations:

x − 3y = −4

y = −3x − 2

We can substitute the expression for y from the second equation into the first equation and solve for x:

x − 3(-3x - 2) = -4

x + 9x + 6 = -4

10x = -10

x = -1

Now that we have x = -1, we can substitute this value back into either of the two original equations to solve for y. Using the second equation:

y = −3x − 2 = (-3) (-1) - 2 = 1

Therefore, the solution to the system of linear equations is (x, y) = (-1, 1).