What are x and y if x+y=4 and y=−7x+4?
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Solution:
Given system of equations:
x+y = 4 ----(1)
y = -7x+4 ---(2)
Substitute (2) in equation (1),
we get
x -7x+4 = 4
=> -6x = 4-4
=> -6x = 0
=> x = 0
Put x = 0 in equation (2),we get
y = -7×0 + 4
=> y = 4
Therefore,
x=0,
y = 4
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