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Solve the system x + y = 6 and x - y = 2. What is the value of x? 6 2 4 0

Mathematics
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how?
4
bcoz from 2nd eqtn y=x-2 now|dw:1358879169169:dw|

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Write the equations, one above the other: x + y = 6 x - y = 2 Notice that you have +y in the first equation and -y in the second equation. That means that if you add the two equations, the +y and the -y will add up to zero and will be eliminated leaving only x in the equation. Let's add the two equations: x + y = 6 x - y = 2 --------------- (add equations) 2x = 8 Divide both sides by 2 x = 4 That's all the problem is asking for. Most of the time you need to find y also. Now that we know x = 4, we substitute that value of x in for x in the first original equation: x + y = 6 4 + y = 6 Subtract 4 from both sides: y = 2
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