Solve the system by substitution. {:[-6x+4y=38],[x=7y]:} (◻,◻)

Identify Equation for Substitution: Identify the equation that can be used for substitution. In the given system of equations, we have: -6x + 4y = 38 x = 7y The second equation, x = 7y, can be directly used for substitution because x is already isolated.Substitute x into First Equation: Substitute x = 7y into the first equation. Replace x in the first equation with 7y: -6(7y) + 4y = 38Simplify and Solve for y: Simplify the equation and solve for y. -42y + 4y = 38 -38y = 38 Divide both sides by -38 to find y: y = 38 / -38 y = -1Substitute y back into x: Substitute y = -1 back into the equation x = 7y to find x. x = 7(-1) x = -7Write Solution as Ordered Pair: Write the solution as an ordered pair (x, y). The solution to the system of equations is (-7, -1).

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Solve the system by substitution.

{:[-6x+4y=38],[x=7y]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{aligned} -6 x+4 y & =38 \\ x & =7 y \end{aligned}$ $\newline$ $(\square, \square)$

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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} -6 x+4 y & =38 \\ x & =7 y \end{aligned}

\newline

(\square, \square)

Identify Equation for Substitution: Identify the equation that can be used for substitution. $\newline$ In the given system of equations, we have: $\newline$ $-6x + 4y = 38$ $\newline$ $x = 7y$ $\newline$ The second equation, $x = 7y$ , can be directly used for substitution because $x$ is already isolated.
Substitute $x$ into First Equation: Substitute $x = 7y$ into the first equation. $\newline$ Replace $x$ in the first equation with $7y$ : $\newline$ $-6(7y) + 4y = 38$
Simplify and Solve for y: Simplify the equation and solve for $y$ .
$-42y + 4y = 38$
$-38y = 38$
Divide both sides by $-38$ to find $y$ :
$y = \frac{38}{-38}$
$y = -1$
Substitute $y$ back into $x$ : Substitute $y = -1$ back into the equation $x = 7y$ to find $x$ . $x = 7(-1)$ $x = -7$
Write Solution as Ordered Pair: Write the solution as an ordered pair $(x, y)$ . The solution to the system of equations is $(-7, -1)$ .