Solve the system by substitution. {:[y=-2x],[-3x-7y=-11]:} (◻,◻)

Substitute y: Substitute y from the first equation into the second equation. Given y = -2x, we can replace y in the second equation -3x - 7y = -11 with -2x.Replace y: Replace y with -2x in the second equation. -3x - 7(-2x) = -11 Simplify the equation by distributing -7 to -2x. -3x + 14x = -11Simplify equation: Combine like terms. 11x = -11Combine like terms: Solve for x by dividing both sides by 11. x = -11 / 11 x = -1Solve for x: Substitute x back into the first equation to find y. y = -2x y = -2(-1) y = 2

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve the system by substitution.

{:[y=-2x],[-3x-7y=-11]:}

(◻,◻)

Solve the system by substitution. $\newline$ $\begin{aligned} y & =-2 x \\ -3 x-7 y & =-11 \end{aligned}$ $\newline$ $(\square, \square)$

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{aligned} y & =-2 x \\ -3 x-7 y & =-11 \end{aligned}

\newline

(\square, \square)

Substitute $y$ : Substitute $y$ from the first equation into the second equation. $\newline$ Given $y = -2x$ , we can replace $y$ in the second equation $-3x - 7y = -11$ with $-2x$ .
Replace $y$ : Replace $y$ with $-2x$ in the second equation. $\newline$ $-3x - 7(-2x) = -11$ $\newline$ Simplify the equation by distributing $-7$ to $-2x$ . $\newline$ $-3x + 14x = -11$
Simplify equation: Combine like terms. $\newline$ $11x = -11$
Combine like terms: Solve for $x$ by dividing both sides by $11$ . $x = \frac{-11}{11}$ $x = -1$
Solve for $x$ : Substitute $x$ back into the first equation to find $y$ . $y = -2x$ $y = -2(-1)$ $y = 2$