Write any two solutions of equation : 7x + 3y = 10.
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7x - 3ʏ = 10
ᴇǫᴜᴀᴛɪᴏɴ↑↑↑↑↑
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// Solve equation [2] for the variable y
[2] 4y = 12
[2] y = 3
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// Plug this in for variable y in equation [1]
[1] 7x - 3•(3) = 10
[1] 7x = 19
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// Solve equation [1] for the variable x
[1] 7x = 19
[1] x = 19/7
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// By now we know this much :
x = 19/7
y = 3
We are done
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Solution :
{x,y} = {19/7,3}
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