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[tex] \left \{ {{y=-2x} \atop {5x+2y=1}} \right. [tex]
5x-4x=1
x=1
y=-2x
y=-2*1
y=-2
[tex] \left \{ {{y=-2} \atop {x=1}} \right. [tex]
5x + 2y = 1
y = 0 - 2x
5x + 2y = 1
y = 0 - 2x
5x - 2(0 - 2x) = 1
y = 0 - 2x
5x - 4x = 1
y = 0 - 2x
x = 1
y = 0 - 2 * 1
x = 1
y = 0 - 2
x = 1
y = -2
x = 1