Exercise 12 Page 221

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

(0,2)

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The solution of the system of linear equations is the point where the graphs of the [[Concept:Equation|equations intersect. From the graph, we can tell that this point is (0,2).

Let's check this solution by substituting the point into both equations.

2x-y=- 2 & (I) 2x+4y=8 & (II)

(I), (II):x= 0, y= 2

2( 0)- 2? =- 2 2( 0)+4( 2)? =8

(I), (II): Multiply

0-2? =- 2 0+8? =8

SubTerm

(I): Subtract term

- 2=- 2 0+8? =8

AddTerms

(II):Add terms

- 2=- 2 ✓ 8=8 ✓

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

Subchapter links

Communicate Your Answer p.217

Monitoring Progress p.218-220

Exercises p.221-222

Exercise 12 Page 221

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