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

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

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Write Equations: Write down the system of equations to be solved. We have the following system of equations: -3x - 9y = -30 6x + 7y = -6 We need to find the values of x and y that satisfy both equations simultaneously.Simplify Equations: Attempt to simplify the equations if possible. Looking at the first equation, we can divide every term by -3 to simplify it: (-3x/-3) - (9y/-3) = (-30/-3) This simplifies to: x + 3y = 10 Now we have a simpler system of equations: x + 3y = 10 6x + 7y = -6Elimination Method: Use the method of elimination to solve the system of equations. To eliminate one of the variables, we can multiply the first equation by 6 so that the coefficient of x in both equations is the same: 6(x + 3y) = 6(10) This gives us: 6x + 18y = 60 Now we have: 6x + 18y = 60 6x + 7y = -6Subtract Equations: Subtract the second equation from the first to eliminate x. (6x + 18y) - (6x + 7y) = 60 - (-6) This simplifies to: 6x + 18y - 6x - 7y = 60 + 6 Which further simplifies to: 11y = 66Solve for y: Solve for y. Divide both sides of the equation by 11 to find the value of y: 11y/11 = 66/11 This gives us: y = 6Substitute and Solve: Substitute the value of y back into one of the original equations to solve for x. We can use the simplified version of the first equation, x + 3y = 10: x + 3(6) = 10 This simplifies to: x + 18 = 10Final Solution: Solve for x. Subtract 18 from both sides of the equation: x + 18 - 18 = 10 - 18 This gives us: x = -8

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

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Find the solution of the system of equations.\newline−3x−9yamp;=−306x+7yamp;=−6 \begin{aligned} -3 x-9 y &amp; =-30 \\ 6 x+7 y &amp; =-6 \end{aligned} −3x−9y6x+7y​amp;=−30amp;=−6​\newlineSubmit Answer

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