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#### Online Quiz (WorksheetABCD)

Questions Per Quiz = 2 4 6 8 10

### Middle/High School Algebra, Geometry, and Statistics (AGS)1.19 Solving Equations - Elimination Method 1

#### Method of Elimination

Example:
Solve x + y = 6 and x - y = 2.

Solution:
In this method we eliminate one variable by addition or subtraction.
Given that x + y = 6 and x - y = 2.
In the above two equations, the coefficients of y are +1 and -1.� They have the same value and the signs are unlike.
If we add two equations the variable y will be eliminated.
 x + y = 6 --------1 x - y = 2 --------2 Adding equations 1 and 2 we get 2x = 8 �
x = 8 / 2 = 4
Therefore, x = 4.
Substituting the value of x in the equation 1 or 2.
x + y = 6
4 + y = 6
y = 6 - 4
y = 2
Therefore, the solution set {(4,2)}.

Verification:
We have to verify the solution (4,2) if it satisfies both equations.� Substitute x = 4 and y = 2 in the equations.
x +� y = 6 and x - y = 2
4 + 2 = 6 and 4 - 2 = 2
Therefore, the solution (4,2) is correct.

Directions: Choose the correct answer. Also write at least ten examples of your own.
 Q 1: Solve x + y = 11 and x - y = 5.x = 8 and y =3x = 4 and y = 6x = 7 and y = 6x = 3 and y = 8 Q 2: Solve x + y = 7 and x - y = 3.x = 4 and y = 3x = 5 and y = 2x = 2 and y = 5x = 3 and y = 4 Q 3: Solve x + y = 24 and x - y = 10.x = 15 and y = 8x = 16 and y = 9x = 14 and y = 6x = 17 and y = 7 Q 4: Solve x + y = 15 and x - y = 1.x = 8 and y = 7x = 4 and y = 6x = 7 and y = 8x = 5 and y = 7 Q 5: Solve x + y = 19 and x - y = 3.x = 11 and y = 8x = 8 and y = 11x = 12 and y = 7x = 13 and y = 6 Q 6: Solve x + y = 34 and x - y = 18. x = 24 and y = 6x = 26 and y = 8x = 22 and y = 10x = 20 and y = 12 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!