Which system of equations is satisfied by the solution shown in the graph?

(-2, 8) does not satisfy any system of the equation. In other words, no system of the equations satisfies the solution as shown in the graph.

Thus, not a single given option of the system of the equations satisfies the solution as shown in the graph.

Step-by-step explanation:

We know that the point of intersection of two lines on a graph is the solution of the system of equations.

From the graph, it is clear that the two lines intersect at x=-2 and y=8.

Thus, the point of intersection of the two lines is (-2, 8)

Putting the (-2, 8) in the first system of equations

x+2y=10              and              x-y = 6

-2+2(8)=10          and             -2-8=6  

14 = 10                 and               -10 = 6

L.H.S ≠ R.H.S       and               L.H.S ≠ R.H.S

L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+2y=10  and x-y = 6.

Putting the (-2, 8) in the second system of equations

x+2y=6              and              x-y = 10

-2+2(8)=6          and             -2-8=10  

14 = 6                 and               -10 = 10

L.H.S ≠ R.H.S       and               L.H.S ≠ R.H.S

L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+2y=6 and x-y = 10.

Putting the (-2, 8) in the third system of equations

x+y=6              and              x-y = 10

-2+8=6            and             -2-8=10  

6 = 6                 and           -10 = 10

L.H.S = R.H.S       and          L.H.S ≠ R.H.S

L.H.S and R.H.S of x-y = 10 is not equal, It means (-2, 8) does not satisfy the system of the equations x+y=6 and x-y = 10.

Putting the (-2, 8) in the second system of equations

x+y=6              and              x-2y = 10

-2+8=6             and             -2-2(8)=10  

14 = 6                 and             -18 = 10

L.H.S ≠ R.H.S       and               L.H.S ≠ R.H.S

L.H.S and R.H.S of both the system of equations are not equal, It means (-2, 8) does not satisfy the system of the equations x+y=6 and x-2y = 10.

In a nutshell, (-2, 8) does not satisfy any system of the equation. In other words, no system of the equations satisfies the solution as shown in the graph.

Thus, not a single given option of the system of the equations satisfies the solution as shown in the graph.

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step-by-step explanation:

step-by-step explanation: