Find the solution of the system of equations. {:[9x+4y=47],[-9x-y=-32](_________,________)":}

Add Equations: Add the two equations together to eliminate x. (9x + 4y) + (-9x - y) = 47 - 32Simplify Left Side: Simplify the left side of the equation. 9x - 9x + 4y - y = 15Combine Like Terms: Combine like terms. 0x + 3y = 15Solve for y: Solve for y. 3y = 15 y = 15 / 3 y = 5Substitute for y: Substitute y = 5 into one of the original equations to solve for x. Let's use the first equation: 9x + 4(5) = 47Simplify Equation: Simplify the equation. 9x + 20 = 47Subtract 20: Subtract 20 from both sides. 9x = 47 - 20 9x = 27Divide by 9: Divide both sides by 9 to solve for x. x = 27 / 9 x = 3

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Q. Find the solution of the system of equations.

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\begin{array}{l} 9 x+4 y=47 \\ -9 x-y=-32 \end{array}

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(_________,________)

Add Equations: Add the two equations together to eliminate $x$ . $(9x + 4y) + (-9x - y) = 47 - 32$
Simplify Left Side: Simplify the left side of the equation. $9x - 9x + 4y - y = 15$
Combine Like Terms: Combine like terms. $\newline$ $0x + 3y = 15$
Solve for y: Solve for y. $\newline$ $3y = 15$ $\newline$ $y = \frac{15}{3}$ $\newline$ $y = 5$
Substitute for y: Substitute $y = 5$ into one of the original equations to solve for $x$ . Let's use the first equation: $9x + 4(5) = 47$
Simplify Equation: Simplify the equation. $9x + 20 = 47$
Subtract $20$ : Subtract $20$ from both sides. $\newline$ $9x = 47 - 20$ $\newline$ $9x = 27$
Divide by $9$ : Divide both sides by $9$ to solve for $x$ . $x = \frac{27}{9}$ $x = 3$