Consider the system of equations

\begin{align*}

5x + y &= 31, \\

-3x + 4y &= -37.

\end{align*}

Substitute this into the second equation: y = 31 - 5x

Solve for x and y, enter your answer as an ordered pair(x,y)

Thanks4helping Nov 20, 2020

#1**+2 **

We don't actually want to substitute the $y=31-5x$ into the second equation I think you meant substitute into $y$. After this we get

$-3x+4(31-5x)=-37$ for the second equation. Distribute to get

$-3x+124-20x=-37$ Combine like terms to get

$-23x+124=-37$ Then we subtract $124$ from both sides resulting in

$-23x=-161$ Divide by $-23$ from both sides to get

$x=7$ Plug this into the first equation resulting in

$5(7)+y=31$ Distribute to get

$35+y=31$ Subtract $35$ from both sides to get

$y=-4$. So our answer is

$(7,-4)$

MathzSolver111 Nov 20, 2020