Question
In Problems 25-54, solve each system. Use any method you wish. $\left\{\begin{aligned} y^2+y+x^2-x-2 & =0 \\ y+1+\frac{x-2}{y} & =0\end{aligned}\right.$
Step 1
\] Rearrange this equation to isolate the fraction: \[ \frac{x-2}{y} = -y - 1. \] Multiply both sides by \( y \) (assuming \( y \neq 0 \)): \[ x - 2 = -y^2 - y. \] Solve for \( x \): \[ x = -y^2 - y + 2. \] Show more…
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