Two lines, A and B, are represented by the following equations:
Line A: y = x − 1
Line B: y = −3x + 11
Which of the following options shows the solution to the system of equations and explains why?
The solution to the system of equations is (2, 1). This can be found by setting the equations equal to each other and solving for x:
x - 1 = -3x + 11
4x = 12
x = 3
Then, plug this value of x back into either equation to solve for y:
y = 3 - 1
y = 2
Therefore, the solution to the system of equations is (3, 2).