+0

# Can anyone help with this equation?

+2
92
4
+153

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)

Nov 20, 2020

#1
+73
+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

$(7,-4)$

Nov 20, 2020
edited by MathzSolver111  Nov 20, 2020
#2
+153
+3

Thanks4helping  Nov 20, 2020
#3
+73
+1

No problem! Have a good day!

MathzSolver111  Nov 20, 2020
#4
+153
+2

You too!

Thanks4helping  Nov 20, 2020
edited by Thanks4helping  Nov 20, 2020