Question

Which ordered pair (r, s) is the solution to the given system of equations?

Answer 1

Answer:

(8,3)

Step-by-step explanation:

Answer 2

Answer:

Option 4 - (8,3)

Step-by-step explanation:

Given : The system of equations,

$5r+7s=61$  ......(1)

and $-5r+7s=-19$......(2)

To find : Which ordered pair (r, s) is the solution to the given system of equations?

Solution :

To get the solution we solve both the equations,

Add equation (1) and (2),

$5r+7s+(-5r+7s)=61+(-19)$

$5r+7s-5r+7s=61-19$

$14s=42$

$s=\frac{42}{14}$

$s=3$

Substitute the value of s in equation (1),

$5r+7(3)=61$

$5r+21=61$

$5r=61-21$

$5r=40$

$r=8$

The value of r=8 and s=3.

So, ordered pair  (8,3) is the solution to the given system of equations.

Therefore, option 4 is correct.