Solve the system by substitution. {:[y=9x+15],[y=4x]:} (◻,◻)

Identify Equations to Solve: Identify the equations to be solved by substitution. We have the system of equations: y = 9x + 15 y = 4x We will substitute the expression for y from the second equation into the first equation.Substitute Expression for y: Substitute the expression for y from the second equation into the first equation. 9x + 15 = 4x Now we will solve for x.Solve for x: Solve for x. Subtract 4x from both sides of the equation to isolate terms with x on one side. 9x + 15 - 4x = 4x - 4x 5x + 15 = 0 Now subtract 15 from both sides to solve for x. 5x = -15 Divide both sides by 5 to find the value of x. x = -15 / 5 x = -3Substitute Value of x: Substitute the value of x back into one of the original equations to solve for y. We can use the second equation y = 4x. Substitute -3 for x in the equation. y = 4(-3) y = -12Write Solution as Ordered Pair: Write the solution as an ordered pair (x, y). The solution is (-3, -12).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the system by substitution.

{:[y=9x+15],[y=4x]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{array}{l} y=9 x+15 \\ y=4 x \end{array}$ $\newline$ $(\square, \square)$

View step-by-step help

Home

Math Problems

Algebra 2

Solve a system of equations in three variables using substitution

Full solution

Q. Solve the system by substitution.

\newline

\begin{array}{l} y=9 x+15 \\ y=4 x \end{array}

\newline

(\square, \square)

Identify Equations to Solve: Identify the equations to be solved by substitution. $\newline$ We have the system of equations: $\newline$ $y = 9x + 15$ $\newline$ $y = 4x$ $\newline$ We will substitute the expression for $y$ from the second equation into the first equation.
Substitute Expression for y: Substitute the expression for y from the second equation into the first equation. $\newline$ $9x + 15 = 4x$ $\newline$ Now we will solve for $x$ .
Solve for x: Solve for x. $\newline$ Subtract $4x$ from both sides of the equation to isolate terms with $x$ on one side. $\newline$ $9x + 15 - 4x = 4x - 4x$ $\newline$ $5x + 15 = 0$ $\newline$ Now subtract $15$ from both sides to solve for $x$ . $\newline$ $5x = -15$ $\newline$ Divide both sides by $5$ to find the value of $x$ . $\newline$ $x = -15 / 5$ $\newline$ $x$ $0$
Substitute Value of $x$ : Substitute the value of $x$ back into one of the original equations to solve for $y$ . We can use the second equation $y = 4x$ . Substitute $-3$ for $x$ in the equation. $y = 4(-3)$ $y = -12$
Write Solution as Ordered Pair: Write the solution as an ordered pair $(x, y)$ . The solution is $(-3, -12)$ .