Question

Use the elimination method to solve the system of equations. Choose the

correct ordered pair.
3x + 5y = 48
-3x+ 5y = 12
O A. (-4,0)
O B. (-3,5)
O C. (16,0)
O D. (6,6)

Answer 1

D. (6,6)

Explanation:

Given the system of two equations

`\left\{\begin{array}{l}3x+5y=48\\ \\-3x+5y=12\end{array}\right.`

1. Add these two equations:

`3x+5y-3x+5y=48+12\\ \\10y=60\\ \\y=6`

2. Subtract these two equations:

`(3x+5y)-(-3x-5y)=48-12\\ \\3x+5y+3x-5y=36\\ \\6x=36\\ \\x=6`

Hence, the solution to the system is (6,6)