Find the solution of the system of equations. {:[7x+2y=27],[9x+2y=37]:} (◻,◻)

Eliminate y: Subtract the first equation from the second equation to eliminate y. (9x + 2y) - (7x + 2y) = 37 - 27Simplify subtraction: Simplify the subtraction. 2x = 10Solve for x: Divide both sides by 2 to solve for x. x = 10 / 2Calculate x: Calculate the value of x. x = 5Solve for y: Substitute x = 5 into the first equation to solve for y. 7(5) + 2y = 27Multiply and add: Multiply 7 by 5. 35 + 2y = 27Subtract to solve: Subtract 35 from both sides to solve for y. 2y = 27 - 35Calculate 2y: Calculate the value of 2y. 2y = -8Solve for y: Divide both sides by 2 to solve for y. y = -8 / 2Calculate y: Calculate the value of y. y = -4

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Find the solution of the system of equations.

{:[7x+2y=27],[9x+2y=37]:}

(◻,◻)

Find the solution of the system of equations. $\newline$ $\begin{array}{l} 7 x+2 y=27 \\ 9 x+2 y=37 \end{array}$ $\newline$ (_,)

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Grade 8

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Q. Find the solution of the system of equations.

\newline

\begin{array}{l} 7 x+2 y=27 \\ 9 x+2 y=37 \end{array}

\newline

(_________,________)

Eliminate y: Subtract the first equation from the second equation to eliminate y. $\newline$ $(9x + 2y) - (7x + 2y) = 37 - 27$
Simplify subtraction: Simplify the subtraction. $2x = 10$
Solve for x: Divide both sides by $2$ to solve for x. $\newline$ $x = \frac{10}{2}$
Calculate $x$ : Calculate the value of $x$ . $x = 5$
Solve for y: Substitute $x = 5$ into the first equation to solve for y. $7(5) + 2y = 27$
Multiply and add: Multiply $7$ by $5$ . $\newline$ $35 + 2y = 27$
Subtract to solve: Subtract $35$ from both sides to solve for $y$ . $\newline$ $2y = 27 - 35$
Calculate $2y$ : Calculate the value of $2y$ . $2y = -8$
Solve for y: Divide both sides by $2$ to solve for y. $\newline$ $y = \frac{-8}{2}$
Calculate $y$ : Calculate the value of $y$ . $y = -4$