Question

Using elimination method, simultaneously solve, 6x+2y=20 and 0.5x-0.5y=1​

Answer 1

x=3, y=1. (3, 1)

Explanation:

6x+2y=20

0.5x-0.5y=1

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6x+2y=20

1/2x-1/2y=1

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6x+2y=20

2(1/2x-1/2y)=2(1)

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6x+2y=20

x-y=2

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6x+2y=20

x=y+2

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6(y+2)+2y=20

6y+12+2y=20

8y+12=20

8y=20-12

8y=8

y=8/8

y=1

x=1+2=3

x=3, y=1.