Solve using elimination. –3x − 4y = –14 4x + 4y = 20 (_____, _____)

Write Equations: Write down the system of equations. –3x − 4y = –14 4x + 4y = 20Add Equations: Add the two equations together to eliminate the y variable. (–3x − 4y) + (4x + 4y) = –14 + 20Find x: Perform the addition to find the value of x. –3x + 4x = x and –4y + 4y = 0, so we have x = 6.Substitute x: Substitute the value of x back into one of the original equations to find the value of y. We'll use the first equation: –3x − 4y = –14. –3(6) − 4y = –14Solve for y: Solve for y. –18 − 4y = –14Add to Isolate: Add 18 to both sides of the equation to isolate the term with y. –4y = –14 + 18Simplify Equation: Simplify the right side of the equation. –4y = 4Find y: Divide both sides by –4 to find the value of y. y = 4 / (–4) y = –1

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve using elimination. $\newline$ $-3x - 4y = -14$ $\newline$ $4x + 4y = 20$ $\newline$ (_, _)

View step-by-step help

Home

Math Problems

Grade 8

Solve a system of equations using elimination

Full solution

Q. Solve using elimination.

\newline

-3x - 4y = -14

\newline

4x + 4y = 20

\newline

(_____, _____)

Write Equations: Write down the system of equations. $\newline$ $-3x - 4y = -14$ $\newline$ $4x + 4y = 20$
Add Equations: Add the two equations together to eliminate the $y$ variable. $\newline$ $(-3x - 4y) + (4x + 4y) = -14 + 20$
Find $x$ : Perform the addition to find the value of $x$ . $\,-3x + 4x = x$ and $\,-4y + 4y = 0$ , so we have $x = 6$ .
Substitute $x$ : Substitute the value of $x$ back into one of the original equations to find the value of $y$ . We'll use the first equation: $–3x − 4y = –14$ . $\newline$ $–3(6) − 4y = –14$
Solve for y: Solve for y. $-18 - 4y = -14$
Add to Isolate: Add $18$ to both sides of the equation to isolate the term with $y$ . $\newline$ $-4y = -14 + 18$
Simplify Equation: Simplify the right side of the equation. $-4y = 4$
Find $y$ : Divide both sides by $–4$ to find the value of $y$ . $\newline$ $y = \frac{4}{(–4)}$ $\newline$ $y = –1$