The equations in the given system are equivalent. y is equal to 2 times open paren x plus 4 close paren y is equal to 2 x plus 8 How many solutions does the system have?

Distribute 2 in the first equation: y = 2(x + 4) = 2x + 8. This is exactly the same equation as the second one, so both equations describe the same line. Every point on that line satisfies both equations, giving an infinite number of solutions.

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