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Solve. $\newline$ $-4x - y = -10$ $\newline$ $y = -10$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-4x - y = -10

\newline

y = -10

\newline

(_____, _____)

Substitute $y = -10$ : Substitute $y = -10$ into the first equation $–4x − y = –10$ .
$-4x - (-10) = -10$
$-4x + 10 = -10$
Isolate variable x: Isolate the variable x by moving the constant term to the other side of the equation. $\newline$ $-4x + 10 - 10 = -10 - 10$ $\newline$ $-4x = -20$
Divide by $-4$ : Divide both sides of the equation by $-4$ to solve for x. $\newline$ $(-4x) / -4 = (-20) / -4$ $\newline$ $x = 5$
Find values of x and y: We have found the values of $x$ and $y$ : $x = 5$ $y = -10$ Now we can write the solution as an ordered pair. The solution is $(5, -10)$ .

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