Solve the system of equations by substitution:

\[
\begin{align*}
-5x + y &= -3 \\
3x - 8y &= 24
\end{align*}
\]

Find the values of \(x\) and \(y\).

(3)(-5x+y=-3) (5)(3x-8y=24)
-15x+3y=-9 15x-40y=120
3y=-9 -40y=120
-37y=111 Divide both sides by -37
y=-3
To solve for x. Choose one equation from the given and plug what you get in Y.
I'll choose, -5x+y=-3 So, -5x+(-3)=-3 -5x=0 Divide both sides by -5 x=0/-5
Hope, this helps.

Answered by carla | 2024-06-10

The solution to the system of equations is ( x , y ) = ( 0 , − 3 ) . You can check the solution by substituting these values back into the original equations to confirm they are satisfied. This method involves solving one equation for a variable and substituting it into the other equation.
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Answered by carla | 2024-10-10