Question

The solution to a system of two linear equations is x = 3; y = 9.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the values of x and y that satisfy the system of equations, we need to substitute x = 3 and y = 9 into both equations and see if they hold true.

Let's say the two equations are:
1) 2x + y = 15
2) x - 3y = -15

Substitute x = 3 and y = 9 into equation 1:
2(3) + 9 = 15
6 + 9 = 15
15 = 15

Substitute x = 3 and y = 9 into equation 2:
3 - 3(9) = -15
3 - 27 = -15
-24 = -15

Since both equations hold true when x = 3 and y = 9, the solution to the system of equations is x = 3 and y = 9.

Answer 2

Can you have exactly two solutions to a Linear system of equations

Answer 3

[AI-generated answer — Bot GPT 3.5]

No, a system of linear equations in two variables can have one solution (intersect at a single point), infinitely many solutions (when the two equations represent the same line), or no solution (parallel lines). It is not possible for a system of linear equations to have exactly two solutions.