Solve the system of equations. {:[3x-2y=6],[x+y=-8]:}

Solve for x: question_prompt: What are the values of x and y that satisfy the system of equations {[3x-2y=6],[x+y=-8]}? Step 1: Solve the second equation for x. x = -8 - ySubstitute x in first equation: Step 2: Substitute x in the first equation with the expression found in Step 1. 3(-8 - y) - 2y = 6Combine like terms: Step 3: Distribute the 3 and combine like terms. -24 - 3y - 2y = 6 -24 - 5y = 6Isolate y term: Step 4: Add 24 to both sides to isolate the term with y. -5y = 6 + 24 -5y = 30Solve for y: Step 5: Divide both sides by -5 to solve for y. y = 30 / -5 y = -6Substitute y in second equation: Step 6: Substitute y = -6 back into the second equation to solve for x. x + (-6) = -8 x - 6 = -8Solve for x: Step 7: Add 6 to both sides to solve for x. x = -8 + 6 x = -2

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Solve the system of equations.
{:[3x-2y=6],[x+y=-8]:}

Solve the system of equations. $\newline$ $\begin{array}{}3 x-2 y=6 \\ x+y=-8\end{array}$

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Grade 8

Solve a system of equations using any method

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Q. Solve the system of equations.

\newline

\begin{array}{}3 x-2 y=6 \\ x+y=-8\end{array}

Solve for $x$ : question_prompt: What are the values of $x$ and $y$ that satisfy the system of equations $\{[3x-2y=6],[x+y=-8]\}$ ? $\newline$ Step $1$ : Solve the second equation for $x$ . $\newline$ $x = -8 - y$
Substitute $x$ in first equation: Step $2$ : Substitute $x$ in the first equation with the expression found in Step $1$ . $\newline$ $3(-8 - y) - 2y = 6$
Combine like terms: Step $3$ : Distribute the $3$ and combine like terms. $-24 - 3y - 2y = 6$ $-24 - 5y = 6$
Isolate y term: Step $4$ : Add $24$ to both sides to isolate the term with $y$ . $\newline$ $-5y = 6 + 24$ $\newline$ $-5y = 30$
Solve for y: Step $5$ : Divide both sides by $-5$ to solve for y. $\newline$ $y = \frac{30}{-5}$ $\newline$ $y = -6$
Substitute $y$ in second equation: Step $6$ : Substitute $y = -6$ back into the second equation to solve for $x$ . $\newline$ $x + (-6) = -8$ $\newline$ $x - 6 = -8$
Solve for x: Step $7$ : Add $6$ to both sides to solve for x. $\newline$ $x = -8 + 6$ $\newline$ $x = -2$