Answer:
The ordered pair ( 5, 15) is a solution to the system of given equations.
Step-by-step explanation:
Consider the given equations,
4x-y=5 .......(1)
x+y=10 .......(2)
We have to find the ordered pair which is a solution to the system of given equations.
We solve the system by elimination method,
Adding both equation , to eliminate y ,
⇒ 4x - y +( x+y ) = 5+ 10
⇒ 4x - y + x + y = 15
⇒ 5x = 15
⇒ x = 5
Put x = 5 in equation (1) , and solve for y,
We get,
4x - y = 5 ⇒ 4(5) - y = 5 ⇒ y = 20 - 5 ⇒ y = 15
Thus, the ordered pair ( 5, 15) is a solution to the system of given equations.
