Exercise 2 Page 242

The point where the graphs of the equations intersect is the solution of the system of equations.

(-2,-2)

Practice makes perfect

The solution of the system of the linear equations is the point where the graphs of the equations intersect. From the given graph, it seems like this point is (-2,- 2).

We can check this solution by substituting the point into both equations.

y=1/2x-1 & (I) y=4x+6 & (II)

(I), (II):x= -2, y= -2

-2? =1/2( -2)-1 -2 ? = 4( -2)+6

(I), (II): a(- b)=- a * b

-2? =-1/2* 2-1 -2? =-8+6

(I): a/2* 2 = a

-2? =-1-1 -2? =-8+6

(I), (II): Add and subtract terms

-2=-2 -2=-2

Since both equations hold true after substituting the point, it is the solution of the system of equations.

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