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2x+3y=12
Complete the missing value in the solution to the equation.
,8)

$2 x+3 y=12$ $\newline$ Complete the missing value in the solution to the equation. $\newline$ $(\square, 8)$

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Does (x, y) satisfy the linear equation?

Full solution

Q.

2 x+3 y=12

\newline

Complete the missing value in the solution to the equation.

\newline

(\square, 8)

Identify equation and value: Identify the given equation and the value of $x$ provided. $\newline$ The given equation is $2x + 3y = 12$ , and we are given that $x = 8$ . We need to find the corresponding $y$ -value that makes this equation true.
Substitute x-value into equation: Substitute the given x-value into the equation. $\newline$ Substitute $x = 8$ into the equation $2x + 3y = 12$ to find the value of y. $\newline$ $2(8) + 3y = 12$ $\newline$ $16 + 3y = 12$
Solve for y: Solve for y. $\newline$ Subtract $16$ from both sides of the equation to isolate the term with $y$ . $\newline$ $16 + 3y - 16 = 12 - 16$ $\newline$ $3y = -4$
Divide both sides to solve for y: Divide both sides by $3$ to solve for $y$ . $\newline$ $\frac{3y}{3} = \frac{-4}{3}$ $\newline$ $y = \frac{-4}{3}$

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