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{:[9x+4y < 8],[-3x-7y >= 5]:}
Is
(1,-2) a solution of the system?

$\begin{array}{l} 9 x+4 y<8 \\ -3 x-7 y \geq 5 \end{array}$ $\newline$ Is $(1,-2)$ a solution of the system?

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Write an equation word problem

Full solution

Q.

\begin{array}{l} 9 x+4 y<8 \\ -3 x-7 y \geq 5 \end{array}

\newline

Is

(1,-2)

a solution of the system?

Substitute and Check Inequality $1$ : Step $1$ : Substitute $x = 1$ and $y = -2$ into the first inequality $9x + 4y < 8$ . Calculation: $9(1) + 4(-2) = 9 - 8 = 1$ . Check if $1 < 8$ .
Substitute and Check Inequality $2$ : Step $2$ : Substitute $x = 1$ and $y = -2$ into the second inequality $-3x - 7y \geq 5$ . $\newline$ Calculation: $-3(1) - 7(-2) = -3 + 14 = 11$ . $\newline$ Check if $11 \geq 5$ .

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