Solve the system by substitution. {:[y=-x+36],[y=3x]:} (◻,◻)

Identify Equation to Substitute: First, we need to identify which equation to substitute into the other. Since the first equation gives us y in terms of x, we can substitute this expression for y into the second equation.Substitute y into Second Equation: Substitute y = -x + 36 into the second equation y = 3x. So, -x + 36 = 3x.Solve for x: Now, solve for x. Add x to both sides of the equation to get all x terms on one side. -x + 36 + x = 3x + x 36 = 4xDivide to Find x: Divide both sides by 4 to solve for x. 36 ÷ 4 = 4x ÷ 4 9 = xSubstitute x back into First Equation: Now that we have the value of x, we can substitute it back into the first equation to find the value of y. y = -x + 36 y = -9 + 36Calculate y Value: Calculate the value of y. y = 27Final Solution: We have found the values of x and y that solve the system of equations. The solution is (9, 27).

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Solve the system by substitution.

{:[y=-x+36],[y=3x]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{array}{l} y=-x+36 \\ y=3 x \end{array}$ $\newline$ $(\square, \square)$

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Precalculus

Solve a system of equations using substitution

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Q. Solve the system by substitution.

\newline

\begin{array}{l} y=-x+36 \\ y=3 x \end{array}

\newline

(\square, \square)

Identify Equation to Substitute: First, we need to identify which equation to substitute into the other. Since the first equation gives us $y$ in terms of $x$ , we can substitute this expression for $y$ into the second equation.
Substitute $y$ into Second Equation: Substitute $y = -x + 36$ into the second equation $y = 3x$ . $\newline$ So, $-x + 36 = 3x$ .
Solve for x: Now, solve for x. Add $x$ to both sides of the equation to get all $x$ terms on one side. $\newline$ $-x + 36 + x = 3x + x$ $\newline$ $36 = 4x$
Divide to Find x: Divide both sides by $4$ to solve for x. $\newline$ $36 \div 4 = 4x \div 4$ $\newline$ $9 = x$
Substitute $x$ back into First Equation: Now that we have the value of $x$ , we can substitute it back into the first equation to find the value of $y$ . $\newline$ $y = -x + 36$ $\newline$ $y = -9 + 36$
Calculate y Value: Calculate the value of y. $\newline$ $y = 27$
Final Solution: We have found the values of $x$ and $y$ that solve the system of equations. $\newline$ The solution is $(9, 27)$ .