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8.

{:[x-3y=-3],[2x+5y=38]:}

Show your work. You may use substitutior $\newline$ $8$ . $\newline$ $\begin{array}{l} x-3 y=-3 \\ 2 x+5 y=38 \end{array}$

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Write an equation word problem

Full solution

Q. Show your work. You may use substitutior

\newline

8

.

\newline

\begin{array}{l} x-3 y=-3 \\ 2 x+5 y=38 \end{array}

Choose Equation Solve Variable: Choose one equation to solve for one variable. I'll solve for x in the first equation. $\newline$ $x - 3y = -3$ $\newline$ $x = 3y - 3$
Substitute x Second Equation: Substitute $x = 3y - 3$ into the second equation. $\newline$ $2(3y - 3) + 5y = 38$ $\newline$ $6y - 6 + 5y = 38$ $\newline$ $11y - 6 = 38$
Solve for y: Solve for y. $\newline$ $11y - 6 = 38$ $\newline$ $11y = 44$ $\newline$ $y = 4$
Substitute y back x: Substitute y = $4$ back into the equation solved for x. $\newline$ $x = 3(4) - 3$ $\newline$ $x = 12 - 3$ $\newline$ $x = 9$

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