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5x-2y=30
Complete the missing value in the solution to the equation.

(8,◻)

$5 x-2 y=30$ $\newline$ Complete the missing value in the solution to the equation. $\newline$ $(8, \square)$

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Does (x, y) satisfy the linear equation?

Full solution

Q.

5 x-2 y=30

\newline

Complete the missing value in the solution to the equation.

\newline

(8, \square)

Substitute $x = 8$ : We are given the equation $5x - 2y = 30$ and a point with an $x$ -coordinate of $8$ . We need to find the corresponding $y$ -coordinate. $\newline$ Substitute $x = 8$ into the equation to find $y$ . $\newline$ $5(8) - 2y = 30$ $\newline$ $40 - 2y = 30$
Solve for y: Solve for y. $\newline$ Subtract $40$ from both sides of the equation to isolate the term containing $y$ . $\newline$ $40 - 2y - 40 = 30 - 40$ $\newline$ $-2y = -10$
Divide to solve for y: Divide both sides by $-2$ to solve for $y$ . $-2y / -2 = -10 / -2$ $y = 5$

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