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Solve. $\newline$ $-4x - y = 1$ $\newline$ $y = 3$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-4x - y = 1

\newline

y = 3

\newline

(_____, _____)

Substitute $y = 3$ : Step $1$ : Substitute $y = 3$ into the equation $-4x - y = 1$ . $\newline$ $-4x - 3 = 1$
Solve for x: Step $2$ : Solve for x. $\newline$ $-4x - 3 + 3 = 1 + 3$ $\newline$ $-4x = 4$ $\newline$ $x = \frac{4}{-4}$ $\newline$ $x = -1$
Check the solution: Step $3$ : Check the solution by substituting $x = -1$ and $y = 3$ back into the original equations. $\newline$ First equation: $-4(-1) - 3 = 4 - 3 = 1$ , which is correct. $\newline$ Second equation: $y = 3$ , which is given.

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