Solve the system by substitution. {:[-3x-8=y],[-8x-7y=-48]:} (◻,◻)

Identify equation for substitution: Identify the first equation to use for substitution. The first equation is -3x - 8 = y. We can use this to express y in terms of x.Substitute expression into second equation: Substitute the expression for y from the first equation into the second equation. The second equation is -8x - 7y = -48. Substituting y from the first equation, we get: -8x - 7(-3x - 8) = -48Simplify and solve for x: Simplify and solve for x. Distribute the -7 through the parentheses: -8x + 21x + 56 = -48 Combine like terms: 13x + 56 = -48 Subtract 56 from both sides: 13x = -48 - 56 13x = -104 Divide both sides by 13: x = -104 / 13 x = -8Substitute x back to solve for y: Substitute the value of x back into the first equation to solve for y. Substitute -8 for x in -3x - 8 = y: -3(-8) - 8 = y 24 - 8 = y y = 16

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Solve the system by substitution.

{:[-3x-8=y],[-8x-7y=-48]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{aligned} -3 x-8 & =y \\ -8 x-7 y & =-48 \end{aligned}$ $\newline$ $(\square, \square)$

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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} -3 x-8 & =y \\ -8 x-7 y & =-48 \end{aligned}

\newline

(\square, \square)

Identify equation for substitution: Identify the first equation to use for substitution. $\newline$ The first equation is $-3x - 8 = y$ . We can use this to express $y$ in terms of $x$ .
Substitute expression into second equation: Substitute the expression for $y$ from the first equation into the second equation. $\newline$ The second equation is $-8x - 7y = -48$ . Substituting $y$ from the first equation, we get: $\newline$ $-8x - 7(-3x - 8) = -48$
Simplify and solve for $x$ : Simplify and solve for $x$ . $\newline$ Distribute the $-7$ through the parentheses: $\newline$ $-8x + 21x + 56 = -48$ $\newline$ Combine like terms: $\newline$ $13x + 56 = -48$ $\newline$ Subtract $56$ from both sides: $\newline$ $13x = -48 - 56$ $\newline$ $13x = -104$ $\newline$ Divide both sides by $13$ : $\newline$ $x = -104 / 13$ $\newline$ $x$ $0$
Substitute $x$ back to solve for $y$ : Substitute the value of $x$ back into the first equation to solve for $y$ . Substitute $-8$ for $x$ in $-3x - 8 = y$ : $-3(-8) - 8 = y$ $24 - 8 = y$ $y = 16$