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2x+4y=12 -2x+3y=26 elimination

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2x + 4y = 12
-2x + 3y = 26

Add the two equations, and you get:

2x + (-2x) + 4y + 3y = 12 + 26

4y + 3y = 12 + 26

7y = 38

y = 38/7

Plug y = 38/7 and solve for x.

2x + 4(38/7) = 12

2x + 152/7 = 12

2x = 12 - 152/7

2x = 84/7 - 152/7

2x = (84 - 152)/7

2x = -68/7

x = -68/7 * 1/2

x = -34/7

x = -34/7
y = 38/7

x = -4 6/7
y = 5 3/7

The solution is (-4 6/7, 5 3/7) OR (-34/7, 38/7).

Both the answers are correct. It's just that in one answer, the fraction is in mixed form, and the other answer has it as an improper fraction.
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