# Graph the system below and write its solution. 2x + y = -6 y = 1/3x + 1 Thank you very much.

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Substitute either equation into the other to solve. I'm going to substitute the second equation for the value of y in the first:

2x + (1/3x +1) = -6

(7/3x) + 1 = -6

7/3x = -7

**x=-3**

**y=0**

The graph plots 2x + y = -6 as blue and y =1/3x +1 as orange

The system of linear equations 2x + y = -6 and y = 1/3x + 1 has to be solved.

Substitute y = x/3 + 1 in 2x + y = -6

2x + x/3 + 1 = -6

(7x)/3 = -7

x = -3

y = x/3 + 1 = 0

The solution of the system of equations is (-3, 0)

Drawing the graph of the two lines graphically shows that this is the root.