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{:[y=-4x-10],[-5x-2y=11]:}

$\begin{array}{l}y=-4 x-10 \\ -5 x-2 y=11\end{array}$

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Write an equation word problem

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Q.

\begin{array}{l}y=-4 x-10 \\ -5 x-2 y=11\end{array}

Write System of Equations: Write down the system of equations. $\newline$ We have the following system of equations: $\newline$ $1$ ) $y = -4x - 10$ $\newline$ $2$ ) $-5x - 2y = 11$ $\newline$ We need to find the values of $x$ and $y$ that satisfy both equations simultaneously.
Substitute $y$ in $2$ nd equation: Substitute the expression for $y$ from the first equation into the second equation. $\newline$ Since $y = -4x - 10$ , we can replace $y$ in the second equation with $-4x - 10$ : $\newline$ $-5x - 2(-4x - 10) = 11$
Distribute and Simplify: Distribute the $-2$ across the terms inside the parentheses. $-5x + 8x + 20 = 11$
Combine Like Terms: Combine like terms on the left side of the equation. $3x + 20 = 11$
Isolate x Term: Subtract $20$ from both sides of the equation to isolate the term with $x$ . $\newline$ $3x = 11 - 20$ $\newline$ $3x = -9$
Solve for x: Divide both sides of the equation by $3$ to solve for x. $\newline$ $x = -9 / 3$ $\newline$ $x = -3$
Substitute $x$ into $1$ st equation: Substitute the value of $x$ back into the first equation to solve for $y$ . $y = -4(-3) - 10$ $y = 12 - 10$ $y = 2$

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