Question

Lucy graphed the equation x+9y=5 and 4x+15y=-1 and saw that they intersected at the point (-4,1) as shown. What can Lucy conclude? A. (-4,1) is a solution to the system of linear equations. B.(-1,4) is a solution to the system of linear equations. C. (1,-4) is a solution to the system of linear equations. D. (4,-1) is a solution to the system of linear equations.

Answer 1

a

Explanation:

Answer 2

Option A.

Explanation:

If a system of equations has two equations and the graph of both equations intersect at point, then the intersection point is the solution of the system of equations.

The given equations are

`x+9y=5`

`4x+15y=-1`

It is given that the graph of both lines intersect each other at point (-4,1).

It means, (-4,1) is a solution to the system of linear equations.

Therefore, the correct option is A.