Given the equations below, what is the value of √( a ⁄ b )?

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Accepted Answer

Solve the first equation for a in terms of b by multiplying both sides of the equation by 2: a = 2b + 2. Substitute this expression for a in the second equation: 3(2b + 2 – b) = –21 3(b + 2) = –21 3b + 6 = –21 3b = –27 b = –9 Substitute the value of b into the first equation and solve for a: a ⁄ 2 = –9 + 1 a ⁄ 2 = –8 a = –16 Since a = –16 and b = –9, the value of √( a ⁄ b ) = √( –16 ⁄ –9 ) = √( 16 ⁄ 9 ) = 4 ⁄ 3 .

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