Was supposed to find a way to solve the simultaneous equation using elimination: $2x - y =7$ and $y^2 - x(x+y) = 11$. Here is my attempt, but I was stuck at the end.
2026-05-04 11:22:57.1777893777
Using elimination: $2x - y =7$ and $y^2 - x(x+y) = 11$. The picture is my attempt but I was stuck at the end. What did I do wrong?
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To solve this system of equations in $x$ and $y$, I would suggest eliminating one of the variables.
From the first equation, we have $y=2x-7$.
Substituting this expression for $y$ in terms of $x$ into the second equation yields
$(2x-7)^2-x(3x-7)=11,\;$ or $\;x^2-21x+38=0$.
Now can you solve for $x$ and $y$?