Solve the system by substitution. {:[-x-6y=8],[-10 y=x]:} (◻,◻)

Isolate x: Isolate x in the second equation. The second equation is given as -10y = x. We can rewrite this as x = -10y to isolate x.Substitute x: Substitute x in the first equation. The first equation is -x - 6y = 8. We substitute x with -10y from the second equation to get: -(-10y) - 6y = 8.Simplify the equation: Simplify the equation. Simplifying the equation gives us 10y - 6y = 8, which simplifies further to 4y = 8.Solve for y: Solve for y. Divide both sides of the equation by 4 to get y = 8 / 4, which simplifies to y = 2.Substitute y back: Substitute y back into the equation x = -10y. Now that we know y = 2, we substitute it back into the equation x = -10y to find x. This gives us x = -10(2), which simplifies to x = -20.Write the solution: Write the solution as an ordered pair. The solution to the system of equations is x = -20 and y = 2. Therefore, the ordered pair is (-20, 2).

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Solve the system by substitution.

{:[-x-6y=8],[-10 y=x]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{array}{r} -x-6 y=8 \\ -10 y=x \end{array}$ $\newline$ $(\square, \square)$

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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}{r} -x-6 y=8 \\ -10 y=x \end{array}

\newline

(\square, \square)

Isolate $x$ : Isolate $x$ in the second equation. $\newline$ The second equation is given as $-10y = x$ . We can rewrite this as $x = -10y$ to isolate $x$ .
Substitute $x$ : Substitute $x$ in the first equation. $\newline$ The first equation is $-x - 6y = 8$ . We substitute $x$ with $-10y$ from the second equation to get: $-(-10y) - 6y = 8$ .
Simplify the equation: Simplify the equation. $\newline$ Simplifying the equation gives us $10y - 6y = 8$ , which simplifies further to $4y = 8$ .
Solve for y: Solve for y. $\newline$ Divide both sides of the equation by $4$ to get $y = 8 / 4$ , which simplifies to $y = 2$ .
Substitute $y$ back: Substitute $y$ back into the equation $x = -10y$ . Now that we know $y = 2$ , we substitute it back into the equation $x = -10y$ to find $x$ . This gives us $x = -10(2)$ , which simplifies to $x = -20$ .
Write the solution: Write the solution as an ordered pair. $\newline$ The solution to the system of equations is $x = -20$ and $y = 2$ . Therefore, the ordered pair is $(-20, 2)$ .