Solve the system by substitution. {:[4x+7y=-2],[x=-2y]:} (◻,◻)

Substitute x: Substitute x from the second equation into the first equation. Given x = -2y, we can replace x in the first equation 4x + 7y = -2 with -2y. 4(-2y) + 7y = -2 -8y + 7y = -2Combine and solve for y: Combine like terms and solve for y. -8y + 7y = -2 simplifies to -y = -2. To solve for y, divide both sides by -1. -y / -1 = -2 / -1 y = 2Substitute y for x: Substitute the value of y back into the second equation to solve for x. x = -2y Substitute 2 for y: x = -2(2) x = -4Write ordered pair: Write the solution as an ordered pair (x, y). The solution is (-4, 2).

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Solve the system by substitution.

{:[4x+7y=-2],[x=-2y]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{aligned} 4 x+7 y & =-2 \\ x & =-2 y \end{aligned}$ $\newline$ $(\square, \square)$

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Algebra 2

Solve a system of equations in three variables using substitution

Full solution

Q. Solve the system by substitution.

\newline

\begin{aligned} 4 x+7 y & =-2 \\ x & =-2 y \end{aligned}

\newline

(\square, \square)

Substitute $x$ : Substitute $x$ from the second equation into the first equation. $\newline$ Given $x = -2y$ , we can replace $x$ in the first equation $4x + 7y = -2$ with $-2y$ . $\newline$ $4(-2y) + 7y = -2$ $\newline$ $-8y + 7y = -2$
Combine and solve for y: Combine like terms and solve for y. $\newline$ $-8y + 7y = -2$ simplifies to $-y = -2$ . $\newline$ To solve for y, divide both sides by $-1$ . $\newline$ $-y / -1 = -2 / -1$ $\newline$ $y = 2$
Substitute $y$ for $x$ : Substitute the value of $y$ back into the second equation to solve for $x$ .
$x = -2y$
Substitute $2$ for $y$ :
$x = -2(2)$
$x = -4$
Write ordered pair: Write the solution as an ordered pair $(x, y)$ . The solution is $(-4, 2)$ .