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Find the solution of the system of equations.

{:[-8x+12 y=-16],[6x-6y=0]:}
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Find the solution of the system of equations.\newline8x+12yamp;=166x6yamp;=0 \begin{aligned} -8 x+12 y & =-16 \\ 6 x-6 y & =0 \end{aligned} \newlineSubmit Answer

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Q. Find the solution of the system of equations.\newline8x+12y=166x6y=0 \begin{aligned} -8 x+12 y & =-16 \\ 6 x-6 y & =0 \end{aligned} \newlineSubmit Answer
  1. Write Equations: Write down the system of equations.\newlineWe have the following system of equations:\newline8x+12y=16-8x + 12y = -16\newline6x6y=06x - 6y = 0\newlineLet's solve this system using the method of substitution or elimination.
  2. Simplify Relationship: Simplify the second equation to find a relationship between xx and yy. We can divide the second equation by 66 to simplify it: 6x6y=06x - 6y = 0 xy=0x - y = 0 This implies that x=yx = y.
  3. Substitute and Solve: Substitute x=yx = y into the first equation.\newlineSubstituting x=yx = y into the first equation gives us:\newline8y+12y=16-8y + 12y = -16\newlineNow, we can solve for yy.
  4. Combine Terms: Combine like terms and solve for yy.8y+12y=16-8y + 12y = -164y=164y = -16Now, divide both sides by 44 to find yy:y=164y = \frac{-16}{4}y=4y = -4
  5. Find xx: Substitute y=4y = -4 back into the equation x=yx = y to find xx.\newlineSince x=yx = y, we have:\newlinex=4x = -4
  6. Write Solution: Write down the solution to the system of equations.\newlineThe solution to the system of equations is x=4x = -4 and y=4y = -4.