Solve the system by substitution. {:[y=-5x-24],[y=x]:} (◻,◻)

Identify Equations: Identify the equations to be solved by substitution. We have the system of equations: y = -5x - 24 y = xSubstitute Equations: Substitute the second equation into the first equation. Since both equations equal y, we can set them equal to each other: -5x - 24 = xSolve for x: Solve for x. Add 5x to both sides of the equation to isolate x: -5x + 5x - 24 = x + 5x -24 = 6x Divide both sides by 6 to find x: -24 / 6 = 6x / 6 x = -4Find y: Substitute the value of x back into one of the original equations to find y. Using y = x, we substitute x = -4: y = -4Write Ordered Pair: Write the solution as an ordered pair (x, y). The solution is (-4, -4).

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Solve the system by substitution.

{:[y=-5x-24],[y=x]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{array}{l} y=-5 x-24 \\ y=x \end{array}$ $\newline$ $(\square, \square)$

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Algebra 2

Solve a system of equations in three variables using substitution

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Q. Solve the system by substitution.

\newline

\begin{array}{l} y=-5 x-24 \\ y=x \end{array}

\newline

(\square, \square)

Identify Equations: Identify the equations to be solved by substitution. $\newline$ We have the system of equations: $\newline$ $y = -5x - 24$ $\newline$ $y = x$
Substitute Equations: Substitute the second equation into the first equation. $\newline$ Since both equations equal $y$ , we can set them equal to each other: $\newline$ $-5x - 24 = x$
Solve for x: Solve for x. $\newline$ Add $5x$ to both sides of the equation to isolate $x$ : $\newline$ $-5x + 5x - 24 = x + 5x$ $\newline$ $-24 = 6x$ $\newline$ Divide both sides by $6$ to find $x$ : $\newline$ $-24 / 6 = 6x / 6$ $\newline$ $x = -4$
Find $y$ : Substitute the value of $x$ back into one of the original equations to find $y$ . Using $y = x$ , we substitute $x = -4$ : $y = -4$
Write Ordered Pair: Write the solution as an ordered pair $(x, y)$ . $\newline$ The solution is $(-4, -4)$ .