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ara $1$ -Soskion $2$ Cilsulator A systern of equations is shom \left\{\begin{array}{l}2x+2y=17\4x-y=25\end{array}\right. Enter your answer in the box.

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Write an equation word problem

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Q. ara

1

-Soskion

2

Cilsulator A systern of equations is shom \left\{\begin{array}{l}2x+2y=17\4x-y=25\end{array}\right. Enter your answer in the box.

Write Equations: Step $1$ : Write down the system of equations. $\newline$ $\text{Equation 1: } 2x + 2y = 17$ $\newline$ $\text{Equation 2: } 4x - y = 25$
Simplify Equation $1$ : Step $2$ : Simplify Equation $1$ by dividing all terms by $2$ . $\newline$ $x + y = \frac{17}{2}$
Solve for y: Step $3$ : Solve for y from Equation $2$ . $\newline$ $y = 4x - 25$
Substitute and Simplify: Step $4$ : Substitute y from Equation $3$ into the simplified Equation $1$ . $\newline$ $x + (4x - 25) = \frac{17}{2}$ $\newline$ $5x - 25 = \frac{17}{2}$
Solve for x: Step $5$ : Solve for x. $\newline$ $5x = \frac{17}{2} + 25$ $\newline$ $5x = \frac{17}{2} + \frac{50}{2}$ $\newline$ $5x = \frac{67}{2}$ $\newline$ $x = \frac{67}{10}$
Substitute for y: Step $6$ : Substitute x back into Equation $3$ to find y. $\newline$ $y = 4(\frac{67}{10}) - 25$ $\newline$ $y = \frac{268}{10} - 25$ $\newline$ $y = 26.8 - 25$ $\newline$ $y = 1.8$

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