Question

4 x +5 y = -10

Answer 1

To solve for y, you need to isolate for it.

\[4x + 5y = -10\]You're going to want to subtract 4x from either side of the equals sign in order to move it.
\[5y = -10 - 4x\] Now, there's a coefficient of 5 besides the y. We need to divide both sides by 5 in order to get y by itself.
\[y = -2 -\left(\begin{matrix}4 \\ 5\end{matrix}\right)x\]Because this is a linear system, you have to enter in x values in order to determine what y is. For the y-intercept, let x equal zero.
\[y = -2-\left(\begin{matrix}4 \\ 5\end{matrix}\right)\left( 0 \right)\]Which would give you -2 as an answer. Hope I helped.