Question

Determine if the following equation is linear. If the equation is linear, convert i to standard form: ax+by=c

Answer 1

Given the equation:

$(10+y)^2-y^2=-3x+11$

Then, expanding and operating this equation leads to:

$\begin{gathered} 10^2+2\cdot10\cdot y+y^2-y^2=-3x+11 \\ 100+20y=-3x+11 \end{gathered}$

There are no quadratic terms, so the equation is linear. Now, converting it to standard form:

$20y+3x=-89$