Solve the system by substitution. {:[y=-8x+18],[y=10 x]:} (◻,◻)

Identify Equations: Identify the equations to be solved by substitution. We have the system of equations: y = -8x + 18 y = 10x We will substitute the expression for y from the first equation into the second equation.Substitute Expression: Substitute the expression for y from the first equation into the second equation. Since y = -8x + 18, we can replace y in the second equation with -8x + 18. So, -8x + 18 = 10xSolve for x: Solve for x. Add 8x to both sides of the equation to get all x terms on one side: -8x + 18 + 8x = 10x + 8x 18 = 18x Now, divide both sides by 18 to solve for x: 18 / 18 = 18x / 18 1 = xSubstitute Value for y: Substitute the value of x back into one of the original equations to solve for y. We can use the first equation y = -8x + 18. Substitute x = 1 into this equation: y = -8(1) + 18 y = -8 + 18 y = 10Write Ordered Pair: Write the solution as an ordered pair (x, y). The solution is (1, 10).

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Solve the system by substitution.

{:[y=-8x+18],[y=10 x]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{array}{l} y=-8 x+18 \\ y=10 x \end{array}$ $\newline$ $(\square, \square)$

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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=-8 x+18 \\ y=10 x \end{array}

\newline

(\square, \square)

Identify Equations: Identify the equations to be solved by substitution. $\newline$ We have the system of equations: $\newline$ $y = -8x + 18$ $\newline$ $y = 10x$ $\newline$ We will substitute the expression for $y$ from the first equation into the second equation.
Substitute Expression: Substitute the expression for $y$ from the first equation into the second equation. $\newline$ Since $y = -8x + 18$ , we can replace $y$ in the second equation with $-8x + 18$ . $\newline$ So, $-8x + 18 = 10x$
Solve for x: Solve for x. $\newline$ Add $8x$ to both sides of the equation to get all $x$ terms on one side: $\newline$ $-8x + 18 + 8x = 10x + 8x$ $\newline$ $18 = 18x$ $\newline$ Now, divide both sides by $18$ to solve for $x$ : $\newline$ $18 / 18 = 18x / 18$ $\newline$ $1 = x$
Substitute Value for y: Substitute the value of $x$ back into one of the original equations to solve for $y$ . We can use the first equation $y = -8x + 18$ . Substitute $x = 1$ into this equation: $y = -8(1) + 18$ $y = -8 + 18$ $y = 10$
Write Ordered Pair: Write the solution as an ordered pair $(x, y)$ . The solution is $(1, 10)$ .