Solve the system by substitution. {:[9x-y=-30],[y=-x]:} (◻,◻)

Identify Equation: Identify the equation that can be easily substituted. In the given system of equations, the second equation y = -x is already solved for y, which makes it easy to substitute into the first equation.Substitute Expression: Substitute the expression for y from the second equation into the first equation. Substituting y = -x into the first equation 9x - y = -30 gives us: 9x - (-x) = -30Simplify and Solve: Simplify the equation and solve for x. 9x + x = -30 10x = -30 x = -30 / 10 x = -3Substitute Value for y: Substitute the value of x back into the second equation to find y. Using y = -x and x = -3, we get: y = -(-3) y = 3Write Solution as Ordered Pair: Write the solution as an ordered pair. The solution to the system of equations is (x, y) = (-3, 3).

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Solve the system by substitution.

{:[9x-y=-30],[y=-x]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{aligned} 9 x-y & =-30 \\ y & =-x \end{aligned}$ $\newline$ $(\square, \square)$

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Grade 8

Write an equation word problem

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Q. Solve the system by substitution.

\newline

\begin{aligned} 9 x-y & =-30 \\ y & =-x \end{aligned}

\newline

(\square, \square)

Identify Equation: Identify the equation that can be easily substituted. $\newline$ In the given system of equations, the second equation $y = -x$ is already solved for $y$ , which makes it easy to substitute into the first equation.
Substitute Expression: Substitute the expression for $y$ from the second equation into the first equation. $\newline$ Substituting $y = -x$ into the first equation $9x - y = -30$ gives us: $\newline$ $9x - (-x) = -30$
Simplify and Solve: Simplify the equation and solve for $x$ . $9x + x = -30$ $10x = -30$ $x = -30 / 10$ $x = -3$
Substitute Value for y: Substitute the value of $x$ back into the second equation to find $y$ . Using $y = -x$ and $x = -3$ , we get: $y = -(-3)$ $y = 3$
Write Solution as Ordered Pair: Write the solution as an ordered pair. $\newline$ The solution to the system of equations is $(x, y) = (-3, 3)$ .