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If
-6x-5y=-9 is a true equation, what would be the value of
-30 x-25 y?
Answer:

If $-6 x-5 y=-9$ is a true equation, what would be the value of $-30 x-25 y ?$ $\newline$ Answer:

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Slope-intercept form: find the slope and y-intercept

Full solution

Q. If

-6 x-5 y=-9

is a true equation, what would be the value of

-30 x-25 y ?

\newline

Answer:

Analyze Equation: Analyze the given equation. $\newline$ We are given the equation $-6x - 5y = -9$ and asked to find the value of $-30x - 25y$ . Notice that $-30x - 25y$ is a multiple of $-6x - 5y$ .
Determine Multiple: Determine the multiple. $\newline$ To go from $-6x - 5y$ to $-30x - 25y$ , we multiply the entire equation by $5$ because $-6x \times 5 = -30x$ and $-5y \times 5 = -25y$ .
Multiply by $5$ : Multiply the given equation by $5$ . $\newline$ Multiplying the entire equation $-6x - 5y = -9$ by $5$ , we get: $\newline$ $5 \times (-6x) - 5 \times (5y) = 5 \times (-9)$ $\newline$ $-30x - 25y = -45$
Write Final Answer: Write down the final answer. $\newline$ The value of $-30x - 25y$ , given the equation $-6x - 5y = -9$ , is $-45$ .

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