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Solve. $\newline$ $-3x - 5y = 2$ $\newline$ $y = -1$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-3x - 5y = 2

\newline

y = -1

\newline

(_____, _____)

Substitute $y = -1$ : Substitute $y = -1$ into the equation $–3x − 5y = 2$ and then simplify. $\newline$ Substitute $-1$ for $y$ in $–3x − 5y = 2$ . $\newline$ $–3x − 5(-1) = 2$ $\newline$ $–3x + 5 = 2$
Isolate variable term: Isolate the variable term to solve for $x$ . $-3x + 5 = 2$ Subtract $5$ from both sides of the equation. $-3x + 5 - 5 = 2 - 5$ $-3x = -3$
Divide by $-3$ : Divide both sides by $-3$ to find the value of x. $\newline$ $-3x / -3 = -3 / -3$ $\newline$ $x = 1$
Write solution as ordered pair: We have found the values of $x$ and $y$ : $x = 1$ $y = -1$ Now, we can write the solution as an ordered pair.The solution is $(1, -1)$ .

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