Question

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?

Answer 1

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).