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A system of equations is shom.

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

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

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Write an equation word problem

Full solution

Q. A system of equations is shom.

\newline

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

\newline

Enter your answer in the bex.

Write Equations: Step $1$ : Write down the system of equations. $\newline$ Given equations: $\newline$ $2x + 2y = 17$ $\newline$ $4x - y = 25$
Simplify First Equation: Step $2$ : Simplify the first equation by dividing all terms by $2$ . $\newline$ $x + y = 8.5$
Use Substitution: Step $3$ : Use substitution or elimination to solve the system. Let's use substitution. Solve the simplified first equation for y: $\newline$ $y = 8.5 - x$
Substitute into Second Equation: Step $4$ : Substitute $y = 8.5 - x$ into the second equation: $\newline$ $4x - (8.5 - x) = 25$ $\newline$ $4x - 8.5 + x = 25$ $\newline$ $5x - 8.5 = 25$
Solve for x: Step $5$ : Solve for x: $\newline$ $5x = 25 + 8.5$ $\newline$ $5x = 33.5$ $\newline$ $x = 6.7$
Substitute x into y: Step $6$ : Substitute x = $6$ . $7$ back into the equation for y: $\newline$ $y = 8.5 - 6.7$ $\newline$ $y = 1.8$

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