Question 1062050: How many solutions does the system have?
x = -4y + 4
2x + 8y = 8
Answer by math_helper(2461)   (Show Source):
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Since the first equation can be written: x + 4y = 4
and then multiplying it by 2 gives: 2x + 8y = 8
That equation matches the 2nd one, so you really only have one equation with two unknowns.
In this case, there will be an infinite number of solutions:
2x+8y = 8
y = (1/8)(-2x + 8)
y = -(1/4)x + 1
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So the solutions are all the points on the line y = -(1/4)x + 1.
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