Question

Lucy graphed the equations x + 9 y = 5 and 4 x + 15 y = negative 1 and saw that they intersected at the point (–4, 1).

What can Lucy conclude?
(–4, 1) is a solution to the system of linear equations.
(–1, 4) is a solution to the system of linear equations.
(1, –4) is a solution to the system of linear equations.
(4, –1) is a solution to the system of linear equations.

Answer 1

Answer:

A option is correct

Step-by-step explanation:

The given system of equations is

x+9y=5x+9y=5

4x+15y=-14x+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.

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