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. ,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.

The correct option is A.

Step-by-step explanation:

The given system of equations is

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.

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.