"Solve using elimination. 7x − 8y = –17 –7x + 3y = 2 (_____, _____)"

Identify variable to eliminate: Identify the variable to eliminate. In this case, we eliminate 'x' as the coefficients are the opposite in both equations.Identify operation to eliminate variable: Identify the operation to eliminate the variable. Here, we add the equations as the coefficients are opposite. 7x − 8y = –17 –7x + 3y = 2Add equations to eliminate variable: Add the equations to eliminate 'x'. (7x − 8y) + (–7x + 3y) = –17 + 2 7x - 8y - 7x + 3y = -15 -5y = -15Solve for y: Solve for 'y'. Dividing both sides of the equation by -5 gives us y = 3. -5y = -15 y = -15 / -5 y = 3Substitute y into first equation: Substitute y = 3 into the first equation to solve for 'x'. 7x - 8(3) = -17 7x - 24 = -17 7x = -17 + 24 7x = 7 x = 7 / 7 x = 1Write solution as coordinate point: Write the solution as a coordinate point. The solution is (1, 3).

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve using elimination. $\newline$ $7x - 8y = -17$ $\newline$ $-7x + 3y = 2$ $\newline$ $(\_\_\_\_, \_\_\_\_)$

View step-by-step help

Home

Math Problems

Algebra 2

Solve a system of equations using elimination

Full solution

Q. Solve using elimination.

\newline

7x - 8y = -17

\newline

-7x + 3y = 2

\newline

(\_\_\_\_, \_\_\_\_)

Identify variable to eliminate: Identify the variable to eliminate. In this case, we eliminate $x$ as the coefficients are the opposite in both equations.
Identify operation to eliminate variable: Identify the operation to eliminate the variable. Here, we add the equations as the coefficients are opposite. $\newline$ $7x − 8y = −17$ $\newline$ $−7x + 3y = 2$
Add equations to eliminate variable: Add the equations to eliminate $x$ . $\$7x − 8y$ + $−7x + 3y$ = − $17$ + $2$ \) $7x - 8y - 7x + 3y = -15$ $-5y = -15$
Solve for y: Solve for $y$ . Dividing both sides of the equation by $-5$ gives us $y = 3$ . $\newline$ $-5y = -15$ $\newline$ $y = -15 / -5$ $\newline$ $y = 3$
Substitute $y$ into first equation: Substitute $y = 3$ into the first equation to solve for ' $x$ '. $\newline$ $7x - 8(3) = -17$ $\newline$ $7x - 24 = -17$ $\newline$ $7x = -17 + 24$ $\newline$ $7x = 7$ $\newline$ $x = \frac{7}{7}$ $\newline$ $x = 1$
Write solution as coordinate point: Write the solution as a coordinate point. The solution is $(1, 3)$ .