3x-4y=8,3x-4y=10
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Solve equation [1] for the variable x
[1] x = -2y + 8
// Plug this in for variable x in equation [2]
[2] 3•(-2y+8) - 4y = 10
[2] - 10y = -14
// Solve equation [2] for the variable y
[2] 10y = 14
[2] y = 7/5
// By now we know this much :
x = -2y+8
y = 7/5
// Use the y value to solve for x
x = -2(7/5)+8 = 26/5
Solution :
{x,y} = {26/5,7/5}
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