Solve the system by substitution. {:[y=-6x],[y=-5x+3]:} (◻,◻)

Identify Equations for Substitution: Identify the first equation to use for substitution. We have two equations: 1. y = -6x 2. y = -5x + 3 We can substitute the expression for y from the first equation into the second equation.Substitute y into Second Equation: Substitute y = -6x into the second equation y = -5x + 3. -6x = -5x + 3 Now, we need to solve for x.Solve for x: Solve for x. Add 5x to both sides of the equation to isolate x on one side. -6x + 5x = 3 -x = 3 Now, divide both sides by -1 to solve for x. x = -3Substitute x back into First Equation: Substitute x = -3 back into the first equation to solve for y. y = -6x y = -6(-3) Now, calculate the value of y. y = 18Write Solution as Ordered Pair: Write the solution as an ordered pair (x, y). The solution is (-3, 18).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the system by substitution.

{:[y=-6x],[y=-5x+3]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{array}{l} y=-6 x \\ y=-5 x+3 \end{array}$ $\newline$ $(\square, \square)$

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=-6 x \\ y=-5 x+3 \end{array}

\newline

(\square, \square)

Identify Equations for Substitution: Identify the first equation to use for substitution. $\newline$ We have two equations: $\newline$ $1$ . $y = -6x$ $\newline$ $2$ . $y = -5x + 3$ $\newline$ We can substitute the expression for $y$ from the first equation into the second equation.
Substitute $y$ into Second Equation: Substitute $y = -6x$ into the second equation $y = -5x + 3$ .
$-6x = -5x + 3$
Now, we need to solve for $x$ .
Solve for x: Solve for x. $\newline$ Add $5x$ to both sides of the equation to isolate $x$ on one side. $\newline$ $-6x + 5x = 3$ $\newline$ $-x = 3$ $\newline$ Now, divide both sides by $-1$ to solve for $x$ . $\newline$ $x = -3$
Substitute $x$ back into First Equation: Substitute $x = -3$ back into the first equation to solve for $y$ . $\newline$ $y = -6x$ $\newline$ $y = -6(-3)$ $\newline$ Now, calculate the value of $y$ . $\newline$ $y = 18$
Write Solution as Ordered Pair: Write the solution as an ordered pair $(x, y)$ . The solution is $(-3, 18)$ .