Final answer:
To find the solution to the system of linear equations, substitute the value of y from the second equation into the first equation, simplify the equation, and solve for x. Then substitute the value of x into one of the equations to find y. The solution to the system of linear equations is (-1, 1).
Step-by-step explanation:
To find the solution to the system of linear equations, we need to find the values of x and y that satisfy both equations. Let's substitute the value of y from the second equation into the first equation:
x + 4(-4x - 3) = 3
Simplifying the equation gives:
x - 16x - 12 = 3
Combining like terms:
-15x - 12 = 3
Adding 12 to both sides:
-15x = 15
Dividing both sides by -15:
x = -1
Now, substitute the value of x into one of the equations to find y:
y = -4(-1) - 3
Simplifying the equation gives:
y = 4 - 3
y = 1
Therefore, the solution to the system of linear equations is (-1, 1). Therefore, the correct answer is (1, 1).