Find the solution of the system of equations. {:[-3x-9y=-30],[6x+7y=-6]:}

Simplify Equation: Simplify the first equation if possible. The first equation is -3x - 9y = -30. We can simplify this by dividing every term by -3 to make the coefficients smaller and easier to work with. -3x/-3 - 9y/-3 = -30/-3 x + 3y = 10Set Up System: Use the simplified first equation and the second equation to set up the system. Now we have the system of equations: {:[x + 3y = 10],[6x + 7y = -6]:}Multiply to Eliminate x: Multiply the first equation by 6 to eliminate x when added to the second equation. 6(x + 3y) = 6(10) 6x + 18y = 60Add to Eliminate x: Add the new equation from Step 3 to the second original equation to eliminate x. (6x + 18y) + (6x + 7y) = 60 + (-6) 12x + 25y = 54

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Find the solution of the system of equations.

{:[-3x-9y=-30],[6x+7y=-6]:}

Find the solution of the system of equations. $\newline$ $\begin{aligned} -3 x-9 y & =-30 \\ 6 x+7 y & =-6 \end{aligned}$

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Q. Find the solution of the system of equations.

\newline

\begin{aligned} -3 x-9 y & =-30 \\ 6 x+7 y & =-6 \end{aligned}

Simplify Equation: Simplify the first equation if possible. $\newline$ The first equation is $-3x - 9y = -30$ . We can simplify this by dividing every term by $-3$ to make the coefficients smaller and easier to work with. $\newline$ $-3x/-3 - 9y/-3 = -30/-3$ $\newline$ $x + 3y = 10$
Set Up System: Use the simplified first equation and the second equation to set up the system. $\newline$ Now we have the system of equations: $\newline$ \begin{cases}x + 3y = 10\6x + 7y = -6\end{cases}
Multiply to Eliminate $x$ : Multiply the first equation by $6$ to eliminate $x$ when added to the second equation. $\newline$ $6(x + 3y) = 6(10)$ $\newline$ $6x + 18y = 60$
Add to Eliminate $x$ : Add the new equation from Step $3$ to the second original equation to eliminate $x$ . $(6x + 18y) + (6x + 7y) = 60 + (-6)$ $12x + 25y = 54$