Solve the system by substitution. {:[-6x+2=y],[5x+9y=-31]:} (◻,◻)

Solve for y: Solve the first equation for y in terms of x. -6x + 2 = y This gives us y directly in terms of x, so we can substitute this expression for y into the second equation.Substitute into second equation: Substitute y = -6x + 2 into the second equation. 5x + 9(-6x + 2) = -31 Now we will distribute the 9 and combine like terms.Distribute and combine terms: Distribute and combine like terms. 5x - 54x + 18 = -31 -49x + 18 = -31 Now we will solve for x by isolating the variable.Isolate variable x: Solve for x. -49x + 18 = -31 Subtract 18 from both sides. -49x = -31 - 18 -49x = -49 Divide both sides by -49. x = (-49) / (-49) x = 1 We have found the value of x.Solve for x: Substitute x = 1 into y = -6x + 2 to find y. y = -6(1) + 2 y = -6 + 2 y = -4 We have found the value of y.

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Solve the system by substitution.

{:[-6x+2=y],[5x+9y=-31]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{array}{l} -6 x+2=y \\ 5 x+9 y=-31 \end{array}$ $\newline$ $(\square, \square)$

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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}{l} -6 x+2=y \\ 5 x+9 y=-31 \end{array}

\newline

(\square, \square)

Solve for $y$ : Solve the first equation for $y$ in terms of $x$ . $-6x + 2 = y$ This gives us $y$ directly in terms of $x$ , so we can substitute this expression for $y$ into the second equation.
Substitute into second equation: Substitute $y = -6x + 2$ into the second equation. $\newline$ $5x + 9(-6x + 2) = -31$ $\newline$ Now we will distribute the $9$ and combine like terms.
Distribute and combine terms: Distribute and combine like terms. $\newline$ $5x - 54x + 18 = -31$ $\newline$ $-49x + 18 = -31$ $\newline$ Now we will solve for $x$ by isolating the variable.
Isolate variable $x$ : Solve for $x$ .
$-49x + 18 = -31$
Subtract $18$ from both sides.
$-49x = -31 - 18$
$-49x = -49$
Divide both sides by $-49$ .
$x = (-49) / (-49)$
$x = 1$
We have found the value of $x$ .
Solve for $x$ : Substitute $x = 1$ into $y = -6x + 2$ to find $y$ . $y = -6(1) + 2$ $y = -6 + 2$ $y = -4$ We have found the value of $y$ .