Solve using elimination. –4x − 4y = –4 4x + 3y = –5 (_____, _____)

Write Equations: Write down the system of equations. –4x − 4y = –4 4x + 3y = –5Add Equations: Add the two equations together to eliminate the x variable. (–4x − 4y) + (4x + 3y) = –4 + (–5) The x terms cancel each other out, and we are left with: −4y + 3y = –9Combine Terms: Combine like terms to solve for y. −4y + 3y = –9 −y = –9Divide for y: Divide both sides by -1 to solve for y. −y / -1 = –9 / -1 y = 9Substitute for x: Substitute y = 9 into one of the original equations to solve for x. We'll use the second equation. 4x + 3(9) = –5 4x + 27 = –5Subtract 27: Subtract 27 from both sides to solve for x. 4x + 27 - 27 = –5 - 27 4x = –32Divide by 4: Divide both sides by 4 to solve for x. 4x / 4 = –32 / 4 x = –8Write Solution: Write down the solution to the system of equations. The solution is (x, y) = (–8, 9).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve using elimination. $\newline$ $-4x - 4y = -4$ $\newline$ $4x + 3y = -5$ $\newline$ (_, _)

View step-by-step help

Home

Math Problems

Grade 8

Solve a system of equations using elimination

Full solution

Q. Solve using elimination.

\newline

-4x - 4y = -4

\newline

4x + 3y = -5

\newline

(_____, _____)

Write Equations: Write down the system of equations. $\newline$ $-4x - 4y = -4$ $\newline$ $4x + 3y = -5$
Add Equations: Add the two equations together to eliminate the $x$ variable. $\newline$ $(-4x - 4y) + (4x + 3y) = -4 + (-5)$ $\newline$ The $x$ terms cancel each other out, and we are left with: $\newline$ $-4y + 3y = -9$
Combine Terms: Combine like terms to solve for $y$ . $\,-4y + 3y = -9$ $\,-y = -9$
Divide for y: Divide both sides by $-1$ to solve for y. $\newline$ $-y / -1 = -9 / -1$ $\newline$ $y = 9$
Substitute for $x$ : Substitute $y = 9$ into one of the original equations to solve for $x$ . We'll use the second equation. $\newline$ $4x + 3(9) = -5$ $\newline$ $4x + 27 = -5$
Subtract $27$ : Subtract $27$ from both sides to solve for $x$ . $\newline$ $4x + 27 - 27 = -5 - 27$ $\newline$ $4x = -32$
Divide by $4$ : Divide both sides by $4$ to solve for $x$ . $\frac{4x}{4} = \frac{-32}{4}$ $x = -8$
Write Solution: Write down the solution to the system of equations. $\newline$ The solution is $(x, y) = (\text{–}8, 9)$ .