Question

Solve this system. Write your answer as an ordered pair. -5x + y = -3 3x - 8y = 24

Answer 1

Hello there, this is how we will solve your problem.\

here is the equation you gave us.

${\huge{\boxed{\mathbb{EQUATION}}}$

$\begin{bmatrix}-5x+y=-3\\ 3x-8y=24\end{bmatrix}$

we can isolate $x$ and say $x=\frac{-3-y}{5}$

Now here is our equation, $\begin{bmatrix}3\left(-\frac{-3-y}{5}\right)-8y=24\end{bmatrix}$ After we simplify it we get $\begin{bmatrix}\frac{9-37y}{5}=24\end{bmatrix}$, solve this and we get that $y=-3$, Before we said $x$ equals $-\frac{-3-y}{5}$, So now we can plug in our value that $y$ equaled, and now we have $\frac{-3-(-3)}{5}$. Two negatives equal a positive and we get that $x=0$.

_________________

• $y=-3$

• $x=0$