Find the solution to the system of equations. You can use the interactive graph below to find the solution. {:[{[y=-2x+7],[y=5x-7]:}],[x=◻],[y=◻]:}

Set Equations Equal: Set the two equations equal to each other to find the x-coordinate of the solution. Since both expressions are equal to y, we can set them equal to each other to find the x-coordinate where they intersect. -2x + 7 = 5x - 7Solve for x: Solve for x. Add 2x to both sides to get all x terms on one side: -2x + 2x + 7 = 5x + 2x - 7 7 = 7x - 7Isolate x: Isolate x. Add 7 to both sides to get: 7 + 7 = 7x 14 = 7xDivide to Solve: Divide both sides by 7 to solve for x. 14 / 7 = 7x / 7 2 = xSubstitute for y: Substitute x back into one of the original equations to find y. Using y = -2x + 7: y = -2(2) + 7Solve for y: Solve for y. y = -4 + 7 y = 3

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Find the solution to the system of equations.
You can use the interactive graph below to find the solution.

{:[{[y=-2x+7],[y=5x-7]:}],[x=◻],[y=◻]:}

Find the solution to the system of equations. $\newline$ You can use the interactive graph below to find the solution. $\newline$ $\begin{array}{l} \left\{\begin{array}{l} y=-2 x+7 \\ y=5 x-7 \end{array}\right. \\ x=\square \\ y=\square \end{array}$

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Grade 8

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Q. Find the solution to the system of equations.

\newline

You can use the interactive graph below to find the solution.

\newline

\begin{array}{l} \left\{\begin{array}{l} y=-2 x+7 \\ y=5 x-7 \end{array}\right. \\ x=\square \\ y=\square \end{array}

Set Equations Equal: Set the two equations equal to each other to find the $x$ -coordinate of the solution. $\newline$ Since both expressions are equal to $y$ , we can set them equal to each other to find the $x$ -coordinate where they intersect. $\newline$ $-2x + 7 = 5x - 7$
Solve for x: Solve for x. $\newline$ Add $2x$ to both sides to get all $x$ terms on one side: $\newline$ $-2x + 2x + 7 = 5x + 2x - 7$ $\newline$ $7 = 7x - 7$
Isolate $x$ : Isolate $x$ . $\newline$ Add $7$ to both sides to get: $\newline$ $7 + 7 = 7x$ $\newline$ $14 = 7x$
Divide to Solve: Divide both sides by $7$ to solve for $x$ . $\frac{14}{7} = \frac{7x}{7}$ $2 = x$
Substitute for $y$ : Substitute $x$ back into one of the original equations to find $y$ . Using $y = -2x + 7$ : $y = -2(2) + 7$
Solve for y: Solve for y. $\newline$ $y = -4 + 7$ $\newline$ $y = 3$