Find the solution of the system of equations. {:[4x-8y=16],[8x-9y=39]:} Submit Answer

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Find the solution of the system of equations.  {:[4x-8y=16],[8x-9y=39]:} Submit Answer

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Simplify Equation: Simplify the first equation if possible. The first equation is 4x - 8y = 16. We can simplify this by dividing every term by 4 to reduce the coefficients. 4x/4 - 8y/4 = 16/4 x - 2y = 4Express x in Terms: Use the simplified first equation to express x in terms of y. From the simplified equation x - 2y = 4, we can solve for x: x = 2y + 4Substitute x in Equation: Substitute the expression for x into the second equation. The second equation is 8x - 9y = 39. We substitute x = 2y + 4 into this equation: 8(2y + 4) - 9y = 39Combine Like Terms: Distribute and combine like terms in the second equation. 16y + 32 - 9y = 39 (16y - 9y) + 32 = 39 7y + 32 = 39Solve for y: Solve for y. Subtract 32 from both sides of the equation: 7y = 39 - 32 7y = 7 Divide both sides by 7: y = 7 / 7 y = 1Substitute y in x: Substitute the value of y back into the expression for x. We have x = 2y + 4, and we found that y = 1. x = 2(1) + 4 x = 2 + 4 x = 6Check Solution: Check the solution by substituting x and y into both original equations. First equation: 4x - 8y = 16 4(6) - 8(1) = 16 24 - 8 = 16 16 = 16 (True) Second equation: 8x - 9y = 39 8(6) - 9(1) = 39 48 - 9 = 39 39 = 39 (True)

Find the solution of the system of equations. $\newline$ $\begin{array}{l} 4 x-8 y=16 \\ 8 x-9 y=39 \end{array}$ $\newline$ Submit Answer

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Find the solution of the system of equations.\newline4x−8y=168x−9y=39 \begin{array}{l} 4 x-8 y=16 \\ 8 x-9 y=39 \end{array} 4x−8y=168x−9y=39​\newlineSubmit Answer

Find the solution of the system of equations. $\newline$ $\begin{array}{l} 4 x-8 y=16 \\ 8 x-9 y=39 \end{array}$ $\newline$ Submit Answer