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?
(3, 2), because the point does not lie on any axis
(3, 2), because one of the lines passes through this point
(3, 2), because the point lies between the two axes
(3, 2), because both lines pass through this point

Answer 1

@Vocaloid help please?

Answer 2

solve the system of equations. since both equations are solved for y, you know that x -1 = -3x + 11. Solve for x, then find y by substituting x back into one of the equations.

The solution to a system of linear equations is the point where both lines intersect

Answer 3

actually, they already tell you the solution so you don't even have to do any math here

Answer 4

Thanks for explaining how to solve it, but how do you know where the line intersects?

Answer 5

the solution (in this case, (3,2)) is the point of intersection because both lines contain this point