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{:[7x-9y < 5],[-2x+4y > 5]:}
Is
(3,5) a solution of the system?

$\begin{array}{l} 7 x-9 y<5 \\ -2 x+4 y>5 \end{array}$ $\newline$ Is $(3,5)$ a solution of the system?

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Solve quadratic inequalities

Full solution

Q.

\begin{array}{l} 7 x-9 y<5 \\ -2 x+4 y>5 \end{array}

\newline

Is

(3,5)

a solution of the system?

Substitute Values: Step $1$ : Substitute $x = 3$ and $y = 5$ into the first inequality $7x - 9y < 5$ . $\newline$ Calculation: $7(3) - 9(5) = 21 - 45 = -24$ . $\newline$ Since $-24 < 5$ , the point $(3,5)$ satisfies the first inequality.
Calculate First Inequality: Step $2$ : Substitute $x = 3$ and $y = 5$ into the second inequality $-2x + 4y > 5$ . $\newline$ Calculation: $-2(3) + 4(5) = -6 + 20 = 14$ . $\newline$ Since $14 > 5$ , the point $(3,5)$ satisfies the second inequality.

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