Solve using elimination. 7x − y = 4 –7x + 2y = 6 (_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. 7x − y = 4 –7x + 2y = 6Add Equations: Add the two equations together to eliminate the x variable. (7x − y) + (–7x + 2y) = 4 + 6 This simplifies to: 7x - 7x + (-y + 2y) = 10Simplify Result: Simplify the resulting equation. 0x + y = 10 This simplifies to: y = 10Substitute and Solve: Substitute the value of y back into one of the original equations to solve for x. Using the first equation 7x − y = 4, we substitute y = 10: 7x − 10 = 4Solve for x: Solve for x. 7x = 4 + 10 7x = 14 x = 14 / 7 x = 2Write Solution: Write down the solution to the system of equations. The solution is (x, y) = (2, 10).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve using elimination. $\newline$ $7x - y = 4$ $\newline$ $-7x + 2y = 6$ $\newline$ (_, _)

View step-by-step help

Home

Math Problems

Grade 8

Solve a system of equations using elimination

Full solution

Q. Solve using elimination.

\newline

7x - y = 4

\newline

-7x + 2y = 6

\newline

(_____, _____)

Write Equations: Write down the system of equations to be solved using elimination. $\newline$ $7x - y = 4$ $\newline$ $-7x + 2y = 6$
Add Equations: Add the two equations together to eliminate the $x$ variable. $\newline$ $(7x − y) + (−7x + 2y) = 4 + 6$ $\newline$ This simplifies to: $\newline$ $7x - 7x + (-y + 2y) = 10$
Simplify Result: Simplify the resulting equation. $\newline$ $0x + y = 10$ $\newline$ This simplifies to: $\newline$ $y = 10$
Substitute and Solve: Substitute the value of $y$ back into one of the original equations to solve for $x$ . Using the first equation $7x − y = 4$ , we substitute $y = 10$ : $7x − 10 = 4$
Solve for x: Solve for x. $\newline$ $7x = 4 + 10$ $\newline$ $7x = 14$ $\newline$ $x = \frac{14}{7}$ $\newline$ $x = 2$
Write Solution: Write down the solution to the system of equations. $\newline$ The solution is $(x, y) = (2, 10)$ .