Solve the system by substitution. {:[-x=y],[-6x-2y=20]:} (◻,◻)

Identify Equation for Substitution: Identify the first equation to use for substitution. The first equation is -x = y. This equation can be used to express y in terms of x.Substitute in Second Equation: Substitute -x for y in the second equation. The second equation is -6x - 2y = 20. Substituting -x for y, we get -6x - 2(-x) = 20.Simplify and Solve for x: Simplify the equation and solve for x. Simplifying the equation, we have -6x + 2x = 20, which simplifies to -4x = 20. Dividing both sides by -4, we find x = -5.Substitute x into First Equation: Substitute x back into the first equation to find y. Using the first equation -x = y and substituting x = -5, we get -(-5) = y, which simplifies to y = 5.Write Solution as Ordered Pair: Write the solution as an ordered pair (x, y). The solution to the system of equations is (-5, 5).

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Solve the system by substitution.

{:[-x=y],[-6x-2y=20]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{aligned} -x & =y \\ -6 x-2 y & =20 \end{aligned}$ $\newline$ $(\square, \square)$

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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{aligned} -x & =y \\ -6 x-2 y & =20 \end{aligned}

\newline

(\square, \square)

Identify Equation for Substitution: Identify the first equation to use for substitution. $\newline$ The first equation is $-x = y$ . This equation can be used to express $y$ in terms of $x$ .
Substitute in Second Equation: Substitute $-x$ for $y$ in the second equation. $\newline$ The second equation is $-6x - 2y = 20$ . Substituting $-x$ for $y$ , we get $-6x - 2(-x) = 20$ .
Simplify and Solve for x: Simplify the equation and solve for $x$ . Simplifying the equation, we have $-6x + 2x = 20$ , which simplifies to $-4x = 20$ . Dividing both sides by $-4$ , we find $x = -5$ .
Substitute $x$ into First Equation: Substitute $x$ back into the first equation to find $y$ . Using the first equation $-x = y$ and substituting $x = -5$ , we get $-(-5) = y$ , which simplifies to $y = 5$ .
Write Solution as Ordered Pair: Write the solution as an ordered pair $(x, y)$ . The solution to the system of equations is $(-5, 5)$ .