Solve the system by substitution. {:[y=-5x-44],[y=6x]:} (◻,◻)

Identify Equations: Identify the two equations given in the system. The system of equations is: y = -5x - 44 y = 6xSet Equations Equal: Since both equations are already solved for y, set them equal to each other to find x. -5x - 44 = 6xCombine Like Terms: Combine like terms to solve for x. -5x - 6x = 44 -11x = 44Solve for x: Divide both sides by -11 to find the value of x. x = 44 / -11 x = -4Substitute for y: Substitute the value of x back into one of the original equations to find y. Using y = 6x: y = 6(-4) y = -24Write Ordered Pair: Write the solution as an ordered pair (x, y). The solution is (-4, -24).

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Solve the system by substitution.

{:[y=-5x-44],[y=6x]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{array}{l} y=-5 x-44 \\ y=6 x \end{array}$ $\newline$ $(\square, \square)$

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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-44 \\ y=6 x \end{array}

\newline

(\square, \square)

Identify Equations: Identify the two equations given in the system. $\newline$ The system of equations is: $\newline$ $y = -5x - 44$ $\newline$ $y = 6x$
Set Equations Equal: Since both equations are already solved for $y$ , set them equal to each other to find $x$ . $-5x - 44 = 6x$
Combine Like Terms: Combine like terms to solve for $x$ . $-5x - 6x = 44$ $-11x = 44$
Solve for x: Divide both sides by $-11$ to find the value of x. $\newline$ $x = \frac{44}{-11}$ $\newline$ $x = -4$
Substitute for $y$ : Substitute the value of $x$ back into one of the original equations to find $y$ . Using $y = 6x$ : $y = 6(-4)$ $y = -24$
Write Ordered Pair: Write the solution as an ordered pair $(x, y)$ . $\newline$ The solution is $(-4, -24)$ .