The system of linear equations 5x+3y=3 and X+y=-1 is graphed below.

What is the solution to the system of equations?

O (4,3)

O 1-3.4)

(3, - 4) is the solution to the system of equations.

Step-by-step explanation:

1. Rewrite one of the equations so it eighter starts with y = or it starts with x=

Here the easy way is to write X+y=-1 in the form x=

X = - y - 1

2. Substitute X = - y - 1 in the other equation 5X+3y=3:

5X+3y=3

X = - y - 1

5 ( - y - 1) + 3y=3

-5y - 5 + 3y = 3

-2y = 3 + 5

2y = - 8

y = - 4

3. Now substitute this value y = - 4 in X = - y - 1

X = - (y) - 1

y = - 4

X = - ( - 4) - 1

X = 4 - 1

X = 3

4. So X = 3 and y = - 4 gives this coordinate (3, - 4), which is the solution to the system of equations.