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Agebra 1-Sonwion 2: Crtivatator
18. A syatem of equations is ahown.

{[2x+2y=17],[4x-y=25]:}
Enter your answer in the box.

Agebra $1$ -Sonwion $2$ : Crtivatator $\newline$ $18$ . A syatem of equations is ahown. $\newline$ $\left\{\begin{array}{l} 2 x+2 y=17 \\ 4 x-y=25 \end{array}\right.$ $\newline$ Enter your answer in the box.

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Write an equation word problem

Full solution

Q. Agebra

1

-Sonwion

2

: Crtivatator

\newline

18

. A syatem of equations is ahown.

\newline

\left\{\begin{array}{l} 2 x+2 y=17 \\ 4 x-y=25 \end{array}\right.

\newline

Enter your answer in the box.

Solve for y: Solve the second equation for y. $\newline$ Equation: $4x - y = 25$ $\newline$ Solving for y, we get $y = 4x - 25$ .
Substitute into first equation: Substitute $y = 4x - 25$ into the first equation. $\newline$ Original first equation: $2x + 2y = 17$ $\newline$ Substituting for $y$ : $2x + 2(4x - 25) = 17$ $\newline$ Simplify: $2x + 8x - 50 = 17$ $\newline$ Combine like terms: $10x - 50 = 17$
Solve for x: Solve for x. $\newline$ $10x - 50 = 17$ $\newline$ Add $50$ to both sides: $10x = 67$ $\newline$ Divide by $10$ : $x = 6.7$
Substitute back for y: Substitute $x = 6.7$ back into the equation for $y$ . $\newline$ $y = 4(6.7) - 25$ $\newline$ Calculate: $y = 26.8 - 25$ $\newline$ $y = 1.8$

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