X- y = 3 x + y = 5 which of the following systems is equivalent to the given system? 2x - y = 18 and x + 2y = 10 4x - 3y = 18 and x + 2y = 10 2x - 3y = 3 and x + 2y = 5

None of the systems is equivalent to the given system

Step-by-step explanation:

we have the given system

---> equation A

---> equation B

Solve the system

Adds equation A and equation B

Find the value of y

------>

The solution of the given system is the point (4,1)

we know that

If a system is equivalent to the given system, then the solution of both systems must be the same

Verify each case

case A) 2x - y = 18 and x + 2y = 10

---> equation A

---> equation B

Substitute the value of x and y in both equations and then compare the results

equation A

----> is not true

therefore

the system is not equivalent to the given system

case B) 4x - 3y = 18 and x + 2y = 10

---> equation A

---> equation B

Substitute the value of x and y in both equations and then compare the results

equation A

----> is not true

therefore

the system is not equivalent to the given system

case C) 2x - 3y = 3 and x + 2y = 5

---> equation A

---> equation B

Substitute the value of x and y in both equations and then compare the results

equation A

----> is not true

therefore

the system is not equivalent to the given system

what are the options? ?

step-by-step explanation: