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

The answer is A. (-4,1) is the solution to the system of linear equations

Answer 2

The correct option is A.

Explanation:

The given system of equations is

`x+9y=5`

`4x+15y=-1`

If we graph both lines and they intersect each other at (a,b), then we can say that (a,b) is a solution of given system of equations.

It is given that Lucy graphed the equation x+9y=5 and 4x+15y=-1 and saw that they intersected at the point (-4,1) as shown.

Since the intersection point of both lines is (-4,1), therefore we can say that (-4,1) is a solution to the system of linear equations.

Thus, option A is correct.