Solve the system by substitution. {:[y=-4x+42],[y=3x]:} (◻,◻)

Identify Equations for Substitution: Identify the first equation to use for substitution. We have two equations: 1) y = -4x + 42 2) y = 3x We can substitute the expression for y from the second equation into the first equation.Substitute y into First Equation: Substitute y = 3x into the first equation y = -4x + 42. -4x + 42 = 3xSolve for x: Solve for x. Add 4x to both sides of the equation to get all x terms on one side. -4x + 4x + 42 = 3x + 4x 42 = 7xFind Value of x: Divide both sides by 7 to find the value of x. 42 / 7 = 7x / 7 x = 6Substitute x into Second Equation: Substitute x = 6 into the second equation y = 3x to find the value of y. y = 3 * 6 y = 18Write Solution as Ordered Pair: Write the solution as an ordered pair (x, y). The solution is (6, 18).

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Solve the system by substitution.

{:[y=-4x+42],[y=3x]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{array}{l} y=-4 x+42 \\ y=3 x \end{array}$ $\newline$ $(\square, \square)$

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Algebra 2

Solve a system of equations in three variables using substitution

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Q. Solve the system by substitution.

\newline

\begin{array}{l} y=-4 x+42 \\ y=3 x \end{array}

\newline

(\square, \square)

Identify Equations for Substitution: Identify the first equation to use for substitution. $\newline$ We have two equations: $\newline$ $1$ ) $y = -4x + 42$ $\newline$ $2$ ) $y = 3x$ $\newline$ We can substitute the expression for $y$ from the second equation into the first equation.
Substitute $y$ into First Equation: Substitute $y = 3x$ into the first equation $y = -4x + 42$ . $\newline$ $-4x + 42 = 3x$
Solve for x: Solve for x. $\newline$ Add $4x$ to both sides of the equation to get all $x$ terms on one side. $\newline$ $-4x + 4x + 42 = 3x + 4x$ $\newline$ $42 = 7x$
Find Value of x: Divide both sides by $7$ to find the value of $x$ . $\frac{42}{7} = \frac{7x}{7}$ $x = 6$
Substitute $x$ into Second Equation: Substitute $x = 6$ into the second equation $y = 3x$ to find the value of $y$ . $\newline$ $y = 3 \times 6$ $\newline$ $y = 18$
Write Solution as Ordered Pair: Write the solution as an ordered pair $(x, y)$ . The solution is $(6, 18)$ .