Answer:
1. elimination method
x + y = 10
2x + y = 8
-2x - y = -8
-x = 2 (change the sign)
x = -2 (substitute)
2(-2) + y = 8 (solve the equation)
y = 12
answer: (x , y) = (-2 , 12)
2. substitution method
y = 3x - 2
x + y = 8
x + 3x - 2 = 8
x = 5/2
y = 3 × 5/2 - 2
y = 11
2
answer: (x , y) = ( 5/2 , 11/2 )
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Answers & Comments
Answer:
1. elimination method
x + y = 10
2x + y = 8
x + y = 10
-2x - y = -8
-x = 2 (change the sign)
x = -2 (substitute)
2(-2) + y = 8 (solve the equation)
y = 12
answer: (x , y) = (-2 , 12)
2. substitution method
y = 3x - 2
x + y = 8
x + 3x - 2 = 8
x = 5/2
y = 3 × 5/2 - 2
y = 11
2
answer: (x , y) = ( 5/2 , 11/2 )